The ATP has banned Lahyani, 52, from October’s China Open and Shanghai Masters after an internal review.
“Lahyani’s actions in the match were deemed to have compromised the impartiality that is required of an official,” the men’s governing body said in a statement.
The Swede will be free to return to work at the Stockholm Open on 15 October.
US Open organisers said Lahyani had gone “beyond protocol” but allowed him to continue officiating in the tournament.
However, Lahyani is one of seven full-time umpires on the Tour and so the incident was still subject to ATP disciplinary action.
ATP executive vice president of rules and competition Gayle David Bradshaw said Lahyani is a “world-class and highly-respected official”, but added “his actions during the match crossed a line that compromised his own impartiality as a chair umpire”.
“Although well-intended, his actions were regrettable and cannot go without disciplinary action on our own tour,” said Bradshaw.
“We know that he will learn from this experience and we look forward to welcoming him back in October.”
After the match, world number 27 Kyrgios said it was “ridiculous” to suggest Lahyani’s words had sparked his resurgence.
However, Frenchman Herbert said it was “the point something changed” and that the umpire’s actions were unnecessary.
To be eligible for a wildcard, which gives direct entry to the finals, a team must but be ranked in the top 50 of the Davis Cup nations ranking or have at least one player ranked in the top 10 of the ATP world rankings.
Great Britain, who won the Davis Cup in 2015, are ranked sixth and their highest-ranked singles player is Kyle Edmund, the world number 16.
Speaking to BBC Sport, Smith added: “Clearly, we would view ourselves as being a very strong candidate. Not just for the last three or four years of results, but also how we have approached Davis Cup and how we have really embraced hosting ties to the nth degree to create atmosphere.
“I think it’s a very difficult situation for the ITF to put themselves in. It’s not easy to be objective, or even transparent, with it. To really justify the reason of giving a wildcard is not going to be easy.”
The draw for February’s qualifying round – which is played home and away – takes place in London on Wednesday, 26 September and the wildcards will be announced before that date.
“Part of us would want another home tie [in February], but do I want to go away somewhere in South America on clay straight after the Australian Open? Probably not,” Smith said.
“So we would view a wildcard as something that would probably help the schedules of everybody.”
The Davis Cup will change to an 18-team season finale in 2019, with 24 teams competing in the qualifiers.
The 12 winning teams will advance to the finals in November, where they will be joined by the four semi-finalists from this year’s tournament – France, Spain, Croatia and the United States – and the two wildcard picks.
The finals week will have a round-robin format before a knockout phase, with matches consisting of two singles and one doubles rubber, played as three-set matches.
Next year’s end-of-year event will be held in either Madrid or Lille.
As one of the seeds for the qualifying round, Britain will not have to play Serbia, Argentina, Germany, Austria, Belgium, Japan or Italy – all of whom currently have players ranked higher than the British number one Kyle Edmund.
However, they could play Australia or Switzerland, or possibly face a trip to South America to take on Colombia or Brazil.
A home tie is always welcome. Not just because of the partisan support and choice of surface, but also because it gives the LTA a platform to sell the sport away from the traditional summer window.
But as Leon Smith has indicated, a wildcard would still be preferable, even if this seems a major flaw in the structure of the new competition.
The investment group Kosmos has promised to pour $3bn into the Davis Cup and grassroots tennis over the next 25 years. To recoup that vast outlay, they will have to strike some lucrative television deals. And so they will want to do everything in their power to ensure the star players and the countries with the largest TV markets are involved.
Venue: Emirates Arena, Glasgow Dates: 14-16 September Coverage: Live video on the Red Button and online; live text commentaries on the BBC Sport website
Great Britain and Uzbekistan are level at 1-1 in their Davis Cup tie after a gutsy victory for Dan Evans and shock defeat for Cameron Norrie in Glasgow.
World number 70 Norrie squandered a match point in a 0-6 5-7 7-6 (8-6) 6-2 6-2 defeat by world number 434 Jurabek Karimov in the best-of-five tie.
Before that Evans had held his nerve in a rollercoaster 7-6 (7-4) 4-6 0-6 6-4 7-5 victory over Denis Istomin.
Evans was playing his first GB match since serving a 12-month drug ban.
The tie continues on Saturday with a doubles match before Sunday’s reverse singles.
“It’s been tough but everybody who supported me, who has been right behind me from the time I started back, I can only thank them,” an emotional Evans said, after a match against world number 60 Istomin that lasted four hours and 14 minutes.
“Days like today don’t come around very often. Who knows, I may not get in the team next time, so I have to remember this and enjoy it.”
With a revamped Davis Cup being introduced next year, this tie is no longer about relegation from the elite World Group. Instead, if Great Britain win they will be seeded in the new competition in February.
Britain, playing without three-time Grand Slam champion Andy Murray and the country’s number one Kyle Edmund, got off to a perfect start through Evans against the highest-ranked player in the tie.
But the Englishman, who had been a set and a break up before Istomin fought back, made it harder work for himself by missing 18 of 23 break points.
He produced the breakthrough in the first set when he sent a forehand down the line to get the mini-break for 5-3 in the tie-break and wrapped up the set with a backhand volley at the net.
Evans went 2-0 up in the second set but was pegged back in the following game, and then failed to convert seven out of eight break points as Istomin took the set when the Briton went long.
With the first two sets having taken just over two hours, the Uzbek number one then raced through the third set in 21 minutes, before Evans stopped the rot by winning the opening game of the fourth set after losing nine games in a row.
The momentum continued to swing in the fifth, with each player breaking twice before Evans won the match with a forehand on his sixth match point on Istomin’s serve.
Evans, who failed a drug test after remnants of cocaine contaminated legal medication in his washbag, returned to tennis in April this year and has climbed back to 222nd in the world after winning a Challenger event in Vancouver last month.
Carlos Ramos returned to the umpire’s chair for the first time since being called a “thief” by Serena Williams, overseeing a Davis Cup match on Friday.
He was in charge as Marin Cilic became Croatia’s most successful Davis Cup player, giving his country a 2-0 lead over the USA in the World Group semis.
Happily for Portugal’s Ramos, there were no controversies as Cilic beat Frances Tiafoe 6-1 6-3 7-6 (7-5).
Borna Coric won the opening singles 6-4 7-6 (7-4) 6-3 against Steven Johnson.
It means Croatia are firmly in charge of the best-of-five-match tie in Zadar going into Saturday’s doubles and Sunday’s reverse singles matches.
World number six Cilic’s victory over world number 40 Tiafoe took him past the 36 Davis Cup rubbers won by Ivan Ljubicic.
Former US Open champion Cilic broke twice in the first set and three times in the second before the young American, making his Davis Cup debut, pushed him harder in the third.
All eyes had been on Ramos, who docked Williams a game for verbal abuse – having already given her a point penalty for smashing her racquet and a code violation for coaching – in her US Open final defeat by Naomi Osaka on Saturday.
The series of incidents had led to some of the most remarkable scenes in a Grand Slam final as Williams accused Ramos of being a “liar” and a “thief”.
Elsewhere, France‘s Benoit Paire beat Spain‘s Pablo Carreno-Busta 7-5 6-1 6-0 to help his country to a 2-0 lead.
Paire, who was also making his Davis Cup debut, outplayed the injured Spaniard.
“In my head, sometimes I could become crazy and the team couldn’t be confident to call me into the team,” Paire had said before his match. “But now I feel good, I feel fresh and confident.”
Compatriot Lucas Pouille prevailed in a five-set battle with Roberto Bautista Agut after losing the first set in Lille.
The world number 19 eventually won 3-6 7-5 (7-5) 6-4 2-6 6-4.