Well, you can see why the Justice Society didn't jump at the chance to take Wonder Woman as a member right away. "Dr Mid-Nite, you need to submit to loving authority." "Umm... I have a patient due at 3." "Green Lantern, I'm going to tie you up so you surrender your free will." "What? Oh, sorry, Solomon Grundy has been seen." "Spectre?" "Don't even think about it."
The only one who might get suckered into this trap would be Johnny Thunder. And he would screw things up one or the other.