Stop twisting my logic. It's very obvious how the people who know Red know how powerful he is as a trainer after hearing of his achievements (and TR apparently being pretty feared).Yeah, and every major trainer in the anime knows who Ash in the anime. Therefore, Ash will totally trounce Red by your logic.
In contrast, the people who know Ash in the anime simply do so mostly through, "oh, hey, I fought that kid. We had a good battle." Not, "Damn, that's Ash ****ing Ketchum! I heard he's the strongest trainer in the world!"