I don't know why most English speakers are so sure that homeopathy doesn't work, especially as they most likely have never tried it
I can't speak for the entire English-speaking world, but I know it doesn't work because of the wealth of evidence that proves it doesn't work.
I certainly think there are many things in our world that cannot, or we have not yet understood how to, measure and quantify.
Yup, me too. That's the basis of science after all - ask a question about the world, devise a way of testing the outcome. However all the meaningful, measurable, repeatable questions asked about homeopathy have proved categorically that it doesn't work.
I would have more respect for homeopaths if they admitted upfront that what they were selling was the placebo effect, rather than hiding behind pseudo-scientific jargon.
OP, I hope you find something that gives your son relief. Eczema is a miserable condition. My stepdaughter's improved dramatically after a course of Vitamin D light therapy (sorry, I can't remember the proper name for it!) Please don't let your desperation lead you to fall prey to charlatans and shysters though.
I try not to be too judgemental, but I judge otherwise-educated people who persist in believing in homeopathy. And I judge the ones who recommend it to others, and so risk someone - especially a child - not getting the proper treatment that might help them like they're going out of fashion. I get through a pair of judgy pants a week on those people alone.