I have no problem with Wonder Woman being a member of the JSA both on primary Earth and on Earth 2 (though Earth to is currently still something of a mess, even after the fixes that were applied at the very end of Earth 2: Society. I mean, it now has a history which is supposedly rather different from the original New 52 version; but I'm pretty sure that it's still not the original Earth 2. Maybe I'm wrong. But that's a topic for another thread.