Is it common for an alcoholic in recovery to push loved ones away?

My boyfriend is in recovery for alcohlism. He has been going to AA meetings for 2 months now and has been working on getting closer to God. We only see each other on the weekends because of our work schedules but we always spent our weekends together, even after he started recovery. Lately, he has been really distant. We haven’t seen each other in over 3 weeks and he will go days without talking to me. He doesn’t answer my calls or texts. This really hurts and of course I get upset. He says that I stress him out and am selfish because I want to spend time with him. He said at the beginning of this that he was doing it so that we would have a better and happier life together but now I’m not so sure about that. I don’t feel that I should be ignored or pushed away by someone who says he loves me, although he hasn’t said it in about a week. He tells me he needs time to get his life straight but wouldn’t you want your loved ones by your side through this? Is it normal for someone in recovery to push their loved ones away? He says he is doing it to everyone.