I agree that's a more defensible position. Of course, there are lots of situations--you have a bylined article "printed" in a newspaper/magazine, you write a book, you appear speaking in someone else's YouTube video--where it's not really reasonable to expect to be able to expunge what you've written from the public record.
This isn't a new thing. You couldn't typically delete a Usenet post either.
What has changed is how easily and casually people can put things out in public without editorial oversight that they may regret.