The point of group hug is to avoid that; because you're helping everyone out, they choose to leave you alone.
That’s not really true. The point of group hug is to change the base assumptions of the game in a way that suits you, e.g. to ramp everyone but you have more haymakers, etc, in the same way (but kinda opposite) to how people run stax cards but seek to break parity on them. If I see a group hug player, I have to decide whether they’re helping me more than they’re helping the other two (it’s rare that they’re helping me more than they’re helping themselves); if not, I probably want to kill them first.
I’m probably a bit biased in favour of murdering of them in the face, in fact, just because I’ve seen a lot of group hug decks I disliked, but sometimes they’re worth keeping around, sometimes not.