This is what you're trying to reference: https://ec.europa.eu/info/law/law-topic/data-protection/refo...
The main problem overall is that the EU appears to consider information about someone as being owned by that person. That is quite foreign from a US individual perspective and having some blogs. I don't see how the learning I have acquired about people places and things, which I acquired without any promise of confidentiality, can be owned by anyone but me. Are libraries and newspapers required to scrub their shelves and archives? And if not, what is the limiting principle?
But indeed that can go both ways - the website of a newspaper might be required upon request to remove a 20-year-old crime blotter item reporting a single petty theft conviction for an otherwise law-abiding non-celebrity; they wouldn't be required to do that for a 2-year-old murder conviction.