@hal9kI think you're asking an interesting question.
The short answer is obvious and simple:
"Please make sure that you take the time to report any players whom you feel are suspected of cheating."
Ultimately, so long as we're reporting them, we don't really have to continue any discussion on the matter. As long as we're doing our share and reporting suspected cheaters, then what little cheating there is on this site is addressed, and most cheaters are banned in short order.
Lichess does an outstanding job and they're miles ahead of the rest.
Give them a few days to investigate, and if there is good cause to ban somebody then that's what will happen.
-
With that said, it's not been my experience that Rapid +-2000 cheat a whole lot more than Classical +-2000. In fact, if anything, I'd say that I've noticed the exact opposite.
As being someone who played rapid for years, and only recently started playing Classical, I've noticed that my quality of play tends to increase with longer time controls.
I used to lose so many games playing Rapid time controls because I was forever being mitigated to choosing my 2nd/3rd best move. I simply didn't have the time to force winning lines.
Once I touched Classical, all of that came to a stop. My opponents were forced to deal with my best ideas.
This could definitely explain what you're sensing to be true.
Dimes to dollars, my bet is not that there are more cheaters at the classical time control.
Dimes to dollars, my bet is that now you're playing against chess players who have the time to find and implement vicious ideas.
-
Even within your very own play, you know that you've had stretches where you can't believe how well you're playing...so why can't this also be true for others?
I know that on several instances I've been tempted to report somebody, but after looking at (censored for content) I realized that "Hey, why can't my opponents, every now and again, have an excellent and unbelievable game too?"
If every now and then I get to play on a level that makes people accuse me of cheating, then others at my same Glick rating bracket should be playing unbelievably well against me sometimes too.
And every now and again, once every blue moon, yes, there is just way too much luck going on for me to feel comfortable, and I have to go ahead and report my opponent.
But that is RARE, and it's especially rare in Classical as compared to Rapid where I felt more people were cheating.
-
In all variations, the best that we can do is just report what we feel is outside of our comfort zones, and let the anti-cheat team investigate.
I would also highly recommend that you read through some of the comments on the other thread about "Cheating", because there are some key ideas in that thread as well.
-
Regards.