It'd be unfair to cast doubt on any player off the back of a single match, and although he's never impressed me massively I've not seen nearly enough of Bellingham to give a reasonable appraisal of him.
With Rice, though, I haven't yet seen where the hype comes from. He's a very good player, don't get me wrong, but for a player that teams would purportedly be willing to spend close to nine figure sums on he seems fairly unexceptional.
Defensive midfielders like Rodri, Casemiro, and Fabinho are of course not players you will easily stumble upon. Furthermore, as somebody else in this thread rightly pointed out, they're all later in their careers than Rice so the comparison is perhaps not entirely fair. With that said, I just don't think Rice is excellent enough at anything to make me think he will reach that level.
Rice definitely has the ability and mentality to impose himself on matches at the highest level, and that in itself is highly commendable for a midfielder of his age. I guess my question mark around him would be whether or not he has the technical quality or the game intelligence required to take control of a game from midfield. In my mind, that's what would be needed to justify the price tag being attached to him right now, and I just haven't yet seen it in him.