Oh, is this a counselor you had seen before together?
If so - H may just be reaching out to the counselor for his own symptoms. Or may be trying to convince the counselor why he "has" to leave the marriage. Or trying to prepare the counselor to counsel you when he leaves. Or whatever.
You're right though - if you've reached the point where nothing he could do would make you feel comfortable in the marriage again - then you're done. That's when I finally let go of my marriage (my H had already moved out a couple of months before) - once I realized that even if he came crawling back totally repentant, after two previous affairs and reconciliations, I would never ever be able to relax in that marriage again.
