I'll go a step further, how?

Sure it makes sense for a music center like Nashville to do this, but for the entire rest of the world? You can't block them from the source material without destroying the entire industry. So you'll just move the generation elsewhere. To be fair humans have "sounding like" each other down to their vocal tics since time immemorial.

You could label (secret key, ledger, hash) legitimate artist recordings and then just shame unmarked (illegitimate) ones. I'm not even sure you could get a national law to "protect the owner", but unless you get rid of the internet you're not going to enforce it effectively. All you can do is reduce its profitability.

Because AI will significantly damage society and we should be exceptionally cautious about it.