I too wouldn't be happy if my T wasn't owning his part (I'm lucky in that my T tends to). Can you talk to him about your feeling that he's not taking responsibility for his side of the street and that it's making you feel like quitting?

For me it's about fairness. To me, a therapist not owning their part in a rupture is hypocritical, hiding behind the inherent power differential in therapy, and I don't do well with that kind of thing at all.