Have you tried these? I know, I know, they've been out for years. I just tried them recently. I always assumed they had some sort of chemical cleaner in them. If they do, please let me know, but as far as I know they are just a sponge with a micro-fine texture that will scour things clean.
I discovered that these are the best for cleaning my kitchen sink. I'm not sure what material my sink is, but it's cream-colored and it gets marks in it extremely easily. The only product that would halfway do the job was Bar Keeper's Friend. It's a scouring powder that is acidic. But these magic eraser sponges do a better job and either with just water or plain dish soap!
See for yourself!
What natural products do you use, in your home?