[javert]

If I get pleasure from doing X, that is an objective fact.

If I value Y, that is an objective fact.

Anyway, I'm not going to present a full epistemological theory of objectivity in the comments of HN. That would be futile. If you want to know about it, you can go research it. I don't mind chatting about it, I'm just pointing out that you can't expect too much from me here. Generally, the most I try to do in an online philosophical discussion is get people to think (when I disagree with them), not try to prove something. It's just not possible to prove much without, like, writing a book.