My H apologizes a lot, too. I think in my case my H is apologizing for the pain he's causing. I think that is sincere. He doesn't want to hurt me or our D7, but he feels like what he's doing is necessary for his happiness. That's the perspective I try to take when he apologizes and I try to accept it. Now, there is not an OW in my situation and I'm not sure how that would color my reaction if there was.