The awkward gaffe happened as Phillip chatted to expert guests Roger and David about whether or not Sir Bradley was an innocent man after a bombshell report by MPs said the Tour de France victor and Team Sky "crossed an ethical line" by using asthma drugs to enhance his performance.
A parliamentary report has accused Sir Bradley Wiggins and Team Sky of crossing an "ethical line" in their use of a powerful drug to prepare for races, including Wiggins' historic 2012 Tour de France win.
Vaughters was Wiggins's boss in 2009, the year before the Brit joined Team Sky, with whom he won the 2012 Tour de France.
Wiggins had three TUEs for the drug which were known about.
"It's a very grey area with these substances because they're not permitted in competition but you're allowed to take them out of competition". This was within World Anti-Doping Agency rules as Wiggins had the relevant therapeutic use exemption (TUE) certificate for the medication. "I am calling for him and the doc to come forward now and tell the truth".
Sutton added: "He is a sufferer, I have seen him suffer and gasping for breath after effort, I saw what he was going though, I can not answer how often he used it".
"They need to explain it all to everybody and everyone knows the word cheat needs to be taken out of the equation".
Lappartient told the BBC: "If you are using substances to increase your performances, I think this is exactly what is cheating".
However, Sutton said: "I understand he was treated on the bus, I thought it was public knowledge".
Wiggins was permitted TUEs for the corticosteroid triamcinolone - which is used to treat allergies and respiratory issues - before the 2011 and 2012 Tours, and the 2013 Giro d'Italia.
"All I can remember from that race is...well, not a lot really".
"To be honest, it's six-and-a-half years ago now, so I have no idea".
"If I was in a different team, maybe it wouldn't - but the way the world is at the moment, it's going to come out and people are going to judge me on that".
Froome, meanwhile, has rubbished the select committee report. "It's not my experience within the team that that's how the team operates", he said.
"I have no recollection of training with that group, when they were all together".
The DCMS select committee said it is "not in a position" to state what was in the medical package but added there is no "reliable evidence" to back up Team Sky's claim it contained a legal decongestant.
"When asked directly whether he believed Wiggins" denials, Lappartient took a long pause.
Froome is still free to race while his case is ongoing, but Lappartient believes it would be bad for the sport if the Briton was to compete in this year's Tour de France with his case unresolved.