Nah, what Austin does generally in those situations is just move on rather than be a dick and argue. It's part of why he's such a great host.
That's why he's a great host? Because of letting inaccuracies slide? I've heard his podcast. There's nothing there that would make me suspect he would have any idea whether Flair was in Puerto Rico that night. That's true of 99% of the people who will ever interview Flair.
What makes him a great host is him not arguing and moving on so the show has a flow and stays fun. When Flair was saying hardcore wrestling started when Funk pile driver him on the table, and that no one had ever done that before, Austin just moved on. That's a great host. I don't want Austin playing Mike Wallace, I want the fun enjoyable show he does.
Remember folks, some people like to think, analyze and discuss.