Hidden Reason
I am really struggling with the ECJ ruling (or at least the reports on it), along similar lines to commentor Brent Longborough above.
The returning of a search result is banned, but the original 'document' still remains.
This is like a library holding a copy of, for example, "Mein Kampf" on its shelves (in plain view for anyone who cares to look, and subsequently read) but not having the book in its card index (or modern database equivalent).
In the particular case of the article by Robert Peston, it is not his article that someone has requested to remove from such public view, but a comment they themselves posted under his original article. If we allow this sort of thing, anyone could post a comment that is reasonably obviously undesirable and then seek for Google, and/or other search engine providers, to remove the reference to the article (and all its comments) from search engine results. This allows 'privacy' requests, potentially of unspecified things for hidden reasons, which would obviously be rejected if requested as an edit to or removal of the original 'document'.
Best regards
Biting the hand that feeds IT
