No. The wronged player gets the information, not the public. Besides the cheat will have the fair play icon on their closed profile which accompanies all their games on the site on their opponents' history of games.
chess.com cheating notification

I just received a notice too that an opponent who defeated me may have cheated. The account was even closed down. I don't know what sort of cheating it was, because the matchup seemed natural, and quite close into the end game.

I just received a notice too that an opponent who defeated me may have cheated. The account was even closed down. I don't know what sort of cheating it was, because the matchup seemed natural, and quite close into the end game.
He probably used the engine. If your game was equal then he either didn't use it on every move, or he didn't use it in that game.

I think it would be nice if chess.com provided the game as well as the username along with the notification rather just giving away points.
exactly, so i could report them more or like keep an eye on them

The conflict was that someone cheated you, the resolution was that they were banned. For them to name the individual just personalizes the conflict and it is tacky.
Fortunately, transparency is a strong communicator, and the fact that you can view all of your past games (by design) makes it rather easy to spot actioned accounts tagged with their fair play flair.
Regardless of the numbers of games, such a task is still effortless. It could be made more dynamic and user-friendly by allowing more sorting controls (by win, by loss, by accuracy, etc) or more listings per page. That could be useful
Also... check out the official Cheating Club / Forum. Perhaps you could propose a solution.

I think that we shouldn't accuse opponents too quickly of cheating either. Last night I had an exceptionally good game. I clearly played above my normal level, and won the game. My opponent, who is rated just a bit higher than me, said in the chat that I was clearly using an engine, and he was going to report me. That is a sad way to deal with the loss of a game.

It's interesting to me in that if I play a handful of games on here, I almost daily feel some of them are suspicious. Correspondingly I get messages confirming this. I still feel however some that remain are suss, but I have to accept they are legit. The mistakes/blunders are way lower and feel less human in these games, and it happens a lot. Conversely, I never get this feeling on Lichess where I also play at a similar rate to mix it up. When I see an opponent err, I'm like yep, I would have done similar. It's extreme.

Hello, i play online, but i also play a lot of chess with my friends at school. sometime we also play on the website! I juste got the message that i would be refounded points cause one of my oponents was cheating... now i can see that one of my friends has a faire-play icon next to her user with the mention '' blocked''...I can see that she acount is ban now. My questions are: Will she know that i know that she cheated in one of are games? Can i be sure she cheated in one of are games? Will she get noticed that that i got refounded? It's really inconfortable to think that she knows that i know she cheated...
I get a notification every 5 mins somoene cheats against me
Not possible.