I would be very hesitant to have AI fully learn my writing style and actually attach it to me, the person. To what extent would this fall into the wrong hands and create real frauds, like identity theft? If randomized AI training was unstoppable, the least I would do is to protect my writing identity, that's my "alternative PII".
Imagine a world where AI knows your style of writing that's directly linked to "you" the individual, and it'd learn every activity that you post on social media (professional ones like Linkedin and personal ones like Meta or X), learn your work place (from your company website), learn your spending pattern (yes, your bank account info are being sold after anonymization for now; but there's no guarantee that with enough other data it wouldn't be able to actually identify you. it's like a puzzle, given enough info, it'd finalize to the specific person). And this AI can write articles, generate images of you based on what's already out there. and this is not a scifi movie, it's something companies are already doing but just at a different scale.
So, I will opt out 100%.