Again, if we’re only talking about Disney canon, according to the sequel and series (because really that movie was just the pilot for the animated series), the genie is supposed to have lost a lot of his power after being freed. It’s not obvious how much of it really.
It’s also not obvious how “bound” the genies are to begin with.
Genie is tricked into getting Aladdin out of the cave of wonders without using a wish, and he looks a bit annoyed but not that much (and it worked). He also basically forces a wish on an unconscious Aladdin to save his life, saying he can’t do it without a wish.
Whatever magic contract is used there looks quite open to interpretation…