Little clothing in winter?

Ok, does anybody's baby only sleep in a light shirt, no pants, w socks at night? My baby runs hot and I swear this is the only way he is happy but I always want to put him in pjs because I can't stand the thought of him being cold at night. We keep the house at 70, my mother in law swears my husband was like this and wanted very little clothing. I just can't get over that he isn't cold! Anyways else's baby like his?