Certain stages in this game have 2 parts. You'll only get to the 2nd part of the stage when one player only has one round to win. Say the first part of the stage is a tiny platform when player B has one 2/3 rounds on that third round there's a mini cutscene and the rest of the fight will take place at a larger area. Ring-outs still work as they normally do.

Really? That is definitely stupid if that's the case. It's not even like escaping throws is usually that easy in fighting games either. The whole point of a reversal is to add some risk to throwing and give players a small opportunity to avoid it completely. Making them take damage from doing it is kind of missing the point.
Yeah, you don't take the whole damage that you would've from the throw though like 10% of it, but it's still stupid.