It sounds like he's saying that depending on the Referer header for a loaded comments section, HN may or may not generate upvote buttons that are duds.
Looks like there's an auth parameter in the upvote GET request, so sounds entirely plausible.
Upvotes from direct links don't count. It's an anti-spam technique.
You mean on product hunt?
I think it means when coming to this page directly vs getting to it by clicking the link on the HN homepage.