First, I think your thinking here is far too focused on hierarchical thinking.
Second, a lot depends on the writers, and I've found that even writers who are able to write a single female character well, often breaks down when they have to write several female characters interacting. All too many can only write stereotypical one-up-manship.
But that's why I think character relations should be judged by the best examples and the best writers. Look at how Gail Simone wrote Kara and Diana in WW vol 3 #41, especially after the mind control was broken. Or Amando Conner in the short one-shot in WW #600.