The wiki said that stone is reserved for man-made, fabricated rocks. Still, I don't support this BUR because I suppose stone is reserved for its natural-looking variant.
I'm not quite sure what you mean by these because they seem to contradict. Regardless, using one tag for fabricated objects and the other for natural was never going to work out. Stone and rock are basically synonymous to most people.
There was a proposal to alias stone to rock over five years ago in topic #14476, which was rejected because of the naive belief that simply changing the words in the wiki would in any way change how people used the tags. Obviously this has never and will never work. If what we want is an umbrella tag for objects made of stone, it would have to be named something different.