Yes. The thing is that then you are no longer anonymously using yt-dlp.
The next step would be trying to detect that case.. maybe adding captchas when there's even a slight suspicion.
Perhaps even to the point of banning users (and then I hope you did not rely on the same account for gmail or others).
It'll be a cat and mouse situation. Similar as it happened with Twitter, there are also third party apps, but many gave up.