Wouldn't that seem to violate the idea of freedom of speech? What if someone running for public office requests that I "forget" and not share what I know about some bad things they did in the past?
Perhaps it would, but there are plenty of other restrictions on freedom of speech. And this particular law does not apply to news media etc, as far as I understand - just search engines and similar databases.
Sure, of course there are and should be reasonable restrictions (shouting fire in a crowded theater causing immediate danger, for example). But is this a restriction that society should accept? How could you expect to have a functioning democracy if a politician could make people "forget" to stop them from sharing any inconvenient facts about the politician's past actions?
And perhaps I want to make a list of sources where you can search for information about politicians to hold them accountable. If it's not censorship for them to be able to stop me from linking to true things they don't want people to see about them, then what is?
The way I see it, this European law is already quite dangerous and will become more so as tech merges with our brains. People might wake up one day having 'forgotten,' for example that Trump grabbed someone by the pussy, because some court decided so. Similar to how users saw copies of the book 1984 disappear from their Kindles not long ago because Amazon felt like it.
If these specific circumstances are NDAs, classified government information and such, that is completely okay because they require a knowingly signed contract violation of which leads to fines and charges. The problem with RTBF is that there's no such contract, or rather it's implicit.
That's kind of the ginormous loophole in the whole RTBF issue. If you can't compel anyone in the US or Asia to remove anything, then you're pretty much a$$ out.
I don't see such limitations as a bad thing. EU has made it clear -- you don't want to be on board -- fine, it's unenforceable. Just don't expect to be able to make a commerical presense in the largest trading bloc in the world.
This is acceptable/ignorable to little business across the world while giant corporations like Facebook or Google can't ignore it.