hi purpleflyingmonkeys! (welcome to "psychotic" forum, I haven't seen you in this area before?)
I do think you should be able to discuss this with him. After all, isn't therapy where you're supposed to be safe to talk about anything that's troubling you? I find this notion that you treat the same symptoms with completely different approaches based solely on what you label it preposterous. I've been labeled both DID and schizophrenic in the past, and while I understand why, I find it useless. I'm the same no matter what you call my diagnosis.
You deserve to feel safe in therapy. I hope this can be resolved in a manner that is satisfactory for you.