So who gets to adjudicate which music is "well known" enough to remain immune to being copied? And what about a piece of music that is not "well known" but it clearly unique and different than anything else? See the problem with what you're suggesting? There's no practical way to do it, and I can assure you that there would be 0.0% support for something like this in the music industry, songwriting community, or the Federal government.

Kudos to sticking to your guns on your suggestion, it just happens to be one that has no basis in law and would never happen in a real world scenario.

http://www.rogerbrownsongs.com
http://www.nashvillesongwriters.com/roger-brown