It would be worth a try!! My 13 yr old daughter had eczema moderately bad. It was much worse when she was a toddler. Right now, she gets a little on her feet if she is outdoors with no shoes. When we are at the beach, it goes away completely!
I used all kinds of paste products, noxema, calamine, aveeno etc. I did not use prescription cremes.
I don't necessarily think it is caused by toxins etc in the home. Per our Dr's, it is some type of allergy/skin condition. We watched her behavior and soon noticed....no shoes outside = eczema breakout. Once we figured that out, her's cleared up dramatically.
Hopefully, your son will be lucky like my daughter and gradually out grow it for the most part.