I think this is good, I think people should be able to delete their online presence when they turn 18. The way the internet is now, it's too easy to screw up your own life.
But like any machinery it can be abused. And expanding it will increase the potential for abuse.
That's not to imply that all of the info out there is truthful and of legitimate public interest. But the right to be forgotten can and has in fact been abused.
Who do you think it belongs to?
Let the slippery slope begin. Islamic States will mandate that all information about women behaving against the Islamic customs be censored, worldwide. It's idiotic, but not more idiotic than the right to be forgotten.
For example: you walk down the street and I see you (because you were there and you exist) and my memory of you being there might be recounted in a blog at some point. That blog might get indexed on Google.
Who owns that data about you? I would argue the person that made the observation owns it - the fact that you acted to walk down a street does not mean you get to control my recollection of that event, or the fact that it happened.
When I read "right to be forgotten" I think of it just as how people forget about the dumb stuff they did as a kid, which we've all done and would prefer to forget. The internet makes this impossible.
Now obviously this could be misused to forget things that really shouldn't be forgot (say, murder or other political things), but that depends on the particular case and they need to be evaluated as such. Just because people have the option doesn't mean it will be abused, and maybe we should concentrate our efforts on making sure it isn't than denying the right completely.
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Also please don't judge me too harshly but in my personal opinion I think a lot of people would have been for this a few years ago, but now when it's an option people always find reasons to bitch about something because it makes them seem smarter. "Hah, everyone thinks this is good? Let me prove everyone just how wrong they are." Not pointing at anyone in particular. It's not even tied to this particular issue either, but I feel like I see it a lot. I myself have done this in the past.
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Besides, if an annoying bureaucratic process is sufficient to deter you from going ahead with a name change, then the privacy interest at stake here can't be that huge.
I can think of many corrupt politicians and criminals who would desperately love to be forgotten not to mention people with criminal histories that would love to become politicians. I mean even your average celebrity like Bill Cosby would love to erase bits of his history from the record right about now.