Totally get what you’re saying, but I’m highlighting the mechanical step of a third party having “every right” to scrape or persist your content is in complete contrast to the other points in this thread about rights to be forgotten and so on.
Right to be forgotten is specifically for personally identifiable information. And I’m pretty sure it’s sound on copyright grounds as long as you don’t distribute. And honestly, I don’t really see a problem with it.
And if you’ve made a personal website, say, with a blog of your valuable ideas/art (valuable to you, or anyone, arbitrarily), the ability to erase your site represents forgetting. The whole site may contain your PII throughout.
Any scraping or archiving techniques degrade that right.