What does post/comment permanency have to do with privacy?

Some folks consider "the right to be forgotten" to be a privacy right.

There are cases where this makes sense. For instance, suppose you're a schoolteacher in Florida today. But a dozen years ago, you were in college and you did a drag performance. Today, the fascist DeSantis regime might label you a "groomer" and fire you or even prosecute you. A dozen years ago, you felt okay putting a video of your drag performance on YouTube ... but today you would really like to make sure that the most frothingly fascist parent of your students could not find that video.

It's easy to say "well, the problem is that Florida has fascists in charge" but that doesn't help the schoolteacher.

To be clear: This is not an easy issue. All quick snappy answers are wrong.