"To do that [have a row] in front of those journalists," Armstrong said incredulously. "I see this trend with Dave Brailsford. That was a mistake to take on [a reporter]. No one knows who Cycling News is. They do now. They do not know about coverage Brailsford doesn't like. They do now."
The fact remains, though, that Stages is also packed with interesting anecdotes and analysis. The answer to the "what-would-you-have-done-in-that-situation?" question, which co-host JB Hager frequently puts to him, is nearly always fascinating because Armstrong bossed the Tour for years. He knows what the main players are thinking, how he would be reacting. And he genuinely seems to enjoy it.
It all adds up to a bit of a conundrum: should we be listening at all?
Armstrong would love us to. The Texan is clearly trying hard to rehabilitate himself into polite society. He already hosts one other podcast, The Forward (on which he gets very eclectic guests), while a cameo in HBO's new 'mockumentary' Pharmacy Road is an attempt from a man who two years ago dubbed himself the "Voldemort" of professional cycling to show he has learnt how to poke fun at himself. He does not deny the fact that he craves an audience.
"I had two platforms before: cycling and cancer," he told CNN.com recently. "A man with no platform is a lost man. I'm sure there are plenty of emails that tell me to 'go f*** yourself'," he added. "But I'm not overly concerned by the negativity."
Two things are certain. Armstrong will continue to polarise opinion. And Stages is a pretty good listen when driving four hours through the Alps.
• New Zealand cyclist Jack Bauer summoned the energy to place 11th on the penultimate stage of the Tour. Bauer clocked 28m 56s for the 22.5km time trial in Marseille, the Quick-Step Floors rider 41s slower than stage winner Maciej Bodnar of Poland.