I don't think Babidi's powers should be downplayed. When not affected by PIS/CIS, he's a reality bending sorcerer who could teleport to anywhere in the universe. Babidi hijacked a billion people's brains while making visual/sound transmissions to them at the same time. He's not limited by range. Even after mind control, Babidi has the ability to dig deeper inside the person to physically amplify their powers while providing rejuvenated healing while making them ignore pain (Spopovich). On top of that he has powerful magical barriers.
Nothing special compared to Babidi.
His only limiting factor is that more of his mind control works on only those who have some malice in their desires. Still, give him his sphere and there's nothing stopping Babidi from teleporting all of DC's crew to a supermassive black hole.
Vegeta would probably not be affected by Aquaman trying to tap into his motor functions. But even before that most folks in DBZ would just speed blitz him.