Texted the ow told her what she helped do. She's a cold fish.
WHO texted the OW - you, or him???
If your H is sincere, he can perfectly well woo while staying on a friend's couch or at a family member's house.
But I agree, it seems pretty obvious that your H is upset he can't have his cake and eat it too, but not being very sincere and truthful about owning his own responsibility here.