Spoiler warning. Article punchline ahead. "The whole point of a dimension reduction model is to mathematically represent the data in simpler form. It’s as if Cambridge Analytica took a very high-resolution photograph, resized it to be smaller, and then deleted the original. The photo still exists — and as long as Cambridge Analytica’s models exist, the data effectively does too." That's an eloquent piece of explanati…
I am in favor of no. Imagine I build a gender classification model off public tweets, and then you later delete your twitter account and demand my model not be used because it was trained off 'your data'.
I am in the camp that so long as the data isn't traceable back to you specifically, then don't put any information out there you are not OK with sticking around.