If they showed the exact method, it would make it easier for cheaters to work around it (there is no perfect method). Which also means you're justified in being suspicious of whether or not they cheated... there have been cases where someone was banned incorrectly!
But it's not at all advantageous for chess.com to error on the side of false positives. Chess.com is a business first.
One method is statistical analysis. There are very reliable samples e.g. world championship matches from the years when chess playing computers didn't exist! Surprisingly, the best humans average a certain match-rate with an engine's top 3 moves. Meaning even if they didn't play the computer's #1 choice, they may have played what the engine thought was the 2nd or 3rd best.
So whenever a human, over the course of many games, achieves a much higher percentage (not just a little higher, and not just 1 game where it would be somewhat easy to match 100% in some cases) then it's statistically very very very very (etc) likely that the person cheated using an engine.
As for knowing a lot about chess, consider also that engines don't necessarily find the best moves. Matching an engine is evidence of using an engine! Carlsen described playing an engine as "playing an idiot, but the idiot always wins." This same obvious style of computer play is what condemned the cheater B.Ivonov in the minds of many players (until statistics and a mountain of circumstantial evidence got him banned by his national federation).
So in short, to appear on that list, either they typed your name in wrong (oops!) or you were one of the very blatant cheaters.
I have had this debate with friends in here many times because i dont neccessarily believe everyone on the cheaters list is a cheater. My experience with chess is certain family members being so obsessed with it. They live eat and breathe it, study it to no end.
When you learn chess to that degree that it borderlines obsession ( actually might go beyond it) isn't it fair to say their knowledge would be above and beyond what is considered normal anyway.
I am still a beginner and my chatterbox mouth definitely has a negative effect on my game as does the fact that i am almost always multitaking when making moves.
That being said. Im ignorant when it comes to how it is decided that someone is a cheater in here and quite frankly very sceptical of the label knowing that some so called "cheaters" were allowed back in. So the question is : What makes you so sure they are cheating? Wheres the proof? I know certain people who obsessively study chess to the point where they know most moves like the back of their hand. They live eat and breath studying it. i dont believe types like that are cheaters. They just know the game in way others dont care to..