"He suggested that I should go see his counselor so that I could work on my coping skills, to be able to deal better with my disappointments in him. So I suggested that we could both just focus on coping and forgiving and accepting the other person for what/how they are. And he said sure, as long as we still have sex and do things together and act like a happily-married couple"
So why in the world would you turn down the opportunity to see his counselor? Why not work this out with a counselor together?
And why are you pissed that H has clear boundaries?