A New Way to Stop Deepfakes?

So Denmark seems poised to pass a new bill that would give each person exclusive rights over their likeness, including facial features, body, and voice. This effectively treats these personal attributes as a form of intellectual property, making deepfakes illegal through copyright law.

An individual whose likeness has been misused in a deepfake would be able to demand the removal of the offending content from online platforms and seek compensation for damages, and online platforms would be legally obligated to remove the content upon notification.

The bill seems to have fairly widespread public support, but I'm wondering what builders think of this approach. It could potentially create some legal headaches (as copyright law often does), and that might be why most anti-deepfake laws so far have mainly gone after people creating non-consensual deepfakes, threatening fines and prison sentences through criminal law. But personally, I find this approach to stop distribution on online platforms using copyright law to be very creative, and I'm hoping more countries try something like this.