Seems pretty sensible
It's reasonable that after a certain time it should be possible for misdeeds to be *officially* "forgotten" - i.e. the idea of spent convictions - after x years previous offences cannot be mentioned in court or in job applications, CRB checks etc.
BUT that doesn't mean that history books can be re-written. If someone is convicted of something and the proceedings are published in a newspaper, then no-one could expect all copies of that newspaper to be searched out and destroyed once the conviction is spent. Ditto if someone mentions in a book that someone was convicted of x.
So it's reasonable that if information has been legitimately published on a website, then that is it. It has been published (no different to a book or newspaper) and, so long as the facts are correct, and it is legitimate public information, there should be no right for anyone to demand or order that the information be removed, no matter how old it is. And similarly there should be no reason for an index of published material (e.g. Google) to remove the link either. The guideline should be that whatever rules apply to a newspaper should also be applied to a search engine.