I don't know how you read the books you do and not get completely bent out of shape.
I read the books because I'm already bent out of shape -- I'm saying "what can I do to make this better?" The books do indeed often make it temporarily worse.
FWIW providing sex for H will probably precipitate a change in his behavior but not until he stops fearing that each time may be his last. Do you have some agreement on frequency or who initiates? In my sitch W always decides when but agrees to a certain overall frequency -- that seems to work well for her.
I do suggest you keep up your generous behavior in all aspects for 8 - 10 weeks and see if you aren't closer to what you want. Make it about him for now without expectations and try a fake it till you make it approach.
If 10 weeks down the line things aren't better then reassess. At that point he will have more to lose and may have different motivations. I know that doing this again for 10 weeks is going to be extremely hard and frustrating but you seem to be in a good place for it right now so why not give it a shot? Assume the best from H's words and actions for now.
I would be very happy if you can get this to a better place because you deserve it.
Accuray
Married 18, Together 20, Now Divorced M: 48, W: 50, D: 18, S: 16, D: 12 Bomb Dropped (EA, D): 7/13/11 Start Reconcile: 8/15/11 Bomb Dropped (EA, D): 5/1/2014 (Divorced) In a New Relationship: 3/2015