Everyone knows what it feels like to play a much stronger player. If someone your rating starts playing like that, even though you can't find those moves yourself, then it feels like something is wrong.
Also, it's actually pretty easy to have the best moves as candidate moves in most positions. I think more often lesser players blunder by not being able to recognize why the bad moves are bad. i.e. they can recognize good moves even if they aren't always playing them.
How come any non advanced player (<2000) think they can detect use engine use. If people could recognise engine moves then surely they would be making these moves in a game and have a noticeably higher rating as a result.
Perhaps they should try Guess the Move where you have to try and make the same moves a grandmaster did in a game and see how difficult that can be.