GDPR has a severely muted effect because Americans are still doing the same things they were before. It'll be even more ineffectual for AI. Nearly all AI research you hear about is being done in the United States. European regulations will only stop Europeans from using it, but you won't be able to escape it anyway because of how much American culture is continuously imported into Europe. Meanwhile, the reverse is almost completely not true; very little European culture makes it into American culture. This will just kneecap European creators and companies. I wish Europe the best of luck with this.
Since we are talking about music, maybe I'm living in a European bubble but last time I was in the U.S. people were listening to classical music (basically OG Euro music), Beatles, ABBA, Elton John or newer stuff like anything involving David Guetta whatever. Plenty of European music being listened to in my niche (metal) as well. Music knows no borders.
That's implementation details. It could be the case that no art produced in the EU can be used as training data (or similar), not necessarily that EU AI models are forbidden from being trained on art. I find the former case the most probable.