K. G
You are right, all babies smell good after a bath. But babies do sweat like all of us. Some people, babies alike, have lots of acid in their systems, and this is seen when their feet stink when they take off their shoes. My oldest boy would sweat as a baby, so that being said, many times (weather permitting) he would only be in a diaper, not because of my but because he was more comfortable this way. In the winter he had light clothing and a jacket. This is what makes all children unique, as he gets older he will have to have deodorant before he is a tween/teen.
I had to do this for my oldest son, my daughter and youngest boy, since they always wanted what their big brother had (grown and families of their own). I wouldn't worry much, just take steps to keep him cool when he sleeps and this should not be much of a problem. If you are still concerned, speak to your pediatrician and ask him/her for advice. These are my suggestions from my experience. There are other moms who have had this experience. I am confident that you will make the right choice. Good luck!