Yes, it is a red flag. He doesn’t seem to be interested in a real partnership, is unwilling to change, get a professional opinion, or take care of himself better. This, combined with the fact he has obsessive compulsive personality disorder would indicate that he is not likely to change without some outside intervention, which he doesn’t seem to want.
Don’t expect things would get better or be better as you go forward. If you can accept things the way they are and find a way to cope — then you may be able to stay. If you are not having the relationship you want now — then you may want to move on.
Proof Positive Blog @ PsychCentral