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.
Good luck.