That looks like another possibility, that the player home cooks some analysis before the game.
I don't want to leave you with the impression that my instinct (or any player's instinct) is error-free. Here is what I believe.
I believe that for every 10 opponents which seem suspicious, quite a few of them will be found to be using assistance.
I also believe that it's a good idea for the website to leverage such instinct via the reporting mechanism.
Good for you that you have found an Easter egg that you can spring on whomever you want, when they play into it.
The end of your post seems to indicate that you don't accept such instinct as valid. But you don't say so explicitly. Without telling a joke with innuendo, what is it that you mean?
I thought the point was that the instinct or gut-feeling couldn't necessarily be trusted as the definitive indication of whether a player had been cheating or not, but could serve as a trigger to make a report of suspected cheating. From there, it is up to the chess.com engine detection process to determine definitively whether cheating has in fact occurred. In the cases you've cited, you may well have been reported, but likely vindicated (all unbeknownst to you) when the Chess.com processes made a closer and less subjective examination.
Suspicion should be grounds to report, but only a high degree of certainty should be grounds to deport.