The right to be forgotten is a right, as the name suggests.
It always existed, if I want to be fogotten IRL I can, why shouldn't it be possible online?
What's the difference between deleting my social timeline and burning my pictures or my diary?
One of my favourite books is "The Late Mattia Pascal" (Il fu Mattia Pascal) from Luigi Pirandello, it was written in 1904 and it's the story of a man who's unhappy and one day discovers that his wife and mother in law found a body and declared it to be his own, so he becomes officialy a dead person.
He takes advantage of the fact to escape his true identity and create a new one, settling in Rome, far from were he was born.
The story is fascinating and a masterpiece about what's really "identity", how we all wear masks and how we all are different (sometimes very) people depending on who you ask.