what you mean for not being able to interact with other players
I opened the game again, and yeah the hitting works fine in free for all type minigames. I guess I only tried to punch/jump on during the team minigames. For example, the 1v3 with the purple laser ball in the center. I was thinking of how in some other party games you could try to mess up your team mates to make them lose money(assuming money isn't given based on team winning, which I guess you could still throw entirely if you wanted to take down a target hard enough). I could see it being fine though, making it so people can't be griefed by team mates for a more casual play.
Hope that clears things up.