Well, my NT husband is just about the most immature 35-year-old I know, so NT doesn't necessarily mean more mature. When he went with me to my boys' school for an open house, the teacher said he reminded her more of their big brother than their father. I wanted to say, "EXACTLY!"
From what I understand, I'm somewhat unique for an Aspie, in that I like a lot of affection (only from my husband and kids). If I were married to an Aspie man who had difficulty with physical closeness (sex doesn't count), I'd be extremely unhappy. There must be some Aspie men who are affectionate, though, since I'm an Aspie woman who is.