My soon to be ex wife was like this. She found boys that wanted her (yes boys bc they werent men...) but i wont get too much into that...
Coming from somebody on the opposite side of the fence here there could be a couple issues....
My sex drive slowed down ALOT when she kept pressuring me to have kids
Also my parents were not that affectionate and i adopted their ways without realizing it. Could he have alot of stress from work? How long has this been going on?

I understand that he isnt initiating it but have you sat him down and told him what you have told us? My wife sat me down and I told her a few issues I had with her but she didnt work on them. So needless to say it didn't help me out. How could I help her if she wasn't willing to help the root of the problem?? I did try, i wont say fake it, but there was like 2 weeks straight that i just went straight for it once i came home. I did this for two reasons 1. i finally realized that it was a problem 2. maybe if i gave in a lil and initiated it a lil more, she would get motivated to help me out with my issue.
Needless to say it failed.
My advice is to sit him down and ask him why he doesn't initiate it. Tell him not to answer you right away and tell him to think about it for a day or two. That should give him enough time to think about it and maybe he will realize soemthing that you cant see. Best of luck