That's an entirely third party project so I doubt they should be listing YC as a partner there.

Huh, yeah that is really misleading. Makes it look like it is by YC.

The question is should we ask them to change it...the thought of embarking into the googlemaze with faint hope of encountering a human being makes me le tired.

It doesn't seem to harm you, trademark issues seem not to be your priority there, and do you really want everyone to mail you asking for permission and/or instructions how to download? I guess the Google thing saves you some trouble.

It would have been nice to coordinate that with you, though.

We've gotten quite a few support emails over the years from people asking us to help them with that product. I always used to wonder why, but now I think I know.

What if someone from EU invokes "right to be forgotten" and demands HN delete past comments from years ago. Will those deletions be reflected in the public database? Or could you mine the db to discover deleted data?

They need to issue their demand to whoever is hosting their data. If HN has deleted it, they are not hosting it.