In a ruling yesterday, the EU confirmed that Google do not have to de-list search results for Google sites outside the EU such as Google.com unless they are being accessed from within the EU. So even if Google agree to de-list after your request, will still be visible in non-EU countries if that is a concern for anyone.
More importantly, in a second judgement not as widely reported, there were some worrying comments on interpretation which of course leave it up to Google to determine the balance between freedom of information and privacy. The new information is that search results push down through time. This helps on the default Google screen ('All' results) but won't help at all if anyone clicks on the 'News' tab - while you can do a lot of work yourself to get more positive links displayed, it's very hard to get them to appear in the News section.
The court also issued a related second ruling, which said that links do not automatically have to be removed just because they contain information about a person's sex life or a criminal conviction.Instead, it ruled that such listings could be kept where "strictly necessary" for people's freedom of information rights to be preserved. However, it indicated a high threshold should be applied and that such results should fall down search result listings over time. "The obligation to demote search results in some cases is particularly interesting as an example of the courts directly interfering with the algorithms used by big tech companies," commented Peter Church from the law firm Linklaters.Link to full article here BBC News