Alicia, I think that there is hope for your H. He is trying and a big difference for him is that he has you.
I came back from the brink of disaster, but when I finally turned it around it was done all on my own, I had a withdrawn, depressed W (mostly caused by my own actions). Something inside me made me want to finally reach her somehow, to make her happy again. If she had been the one trying to reach out to me things might have been totally different. It was what I had wanted all along, for her to reconnect with me. For us though it had to come from me, I had to be the one to start our recovery.
For you the reaching out is coming from you. I can't say this enough, he is a very blessed man to have you Alicia. There must be a part of him that still sees that and knows that you have been trying so very hard to reach him.