I'm pretty sure it isn't that he doesn't like you. For whatever reason he's decided he has to separate himself from you, but that's not necessarily a reflection on you. It's especially tough to separate when you still like/love your spouse. He probably misses you as much as you miss him, and is toughing it out. The time apart will certainly give you both space to think and GAL, perhaps most importantly it is an opportunity for your H to sort out what's bothering him about the R.
When my H left me in 2003 and our D was almost final, I had detached, gotten a life, and was making myself happy. I was in a good place and hoped to see the same in my H, but I didn't so I had a frank talk with him. After six months of separation that he had wanted for his own well being, he had to face up to the fact that nothing had improved in his life. It was clear that whatever the problem was, it wasn't me.
Hopefully your H will take this time alone to reflect on what is troubling him. If he really has to let go of the relationship for his own well being, then it will take an act of love for you to let him go. If he's just projecting his own problems onto the relationship, then the time apart may give him the ability to sort out the real problems. If he does something not so bright like distract himself from the real problems, then you may still have to let him find his way on his own. No matter how it turns out, being willing to let him go and grow is exactly what a best friend would do.
The more I think about it the more certain I am that he likes you. You're a good person.