It absolutely does have relevance to Crocker's Rules. People exchange pleasantries because there's a cultural tendency to treat a direct, to-the-point message/request out of nowhere without the phatic rituals as off-putting and mildly offensive/insensitive.
This is pretty universally understood in most software engineering cultures in the West, which the author (and certainly the vast majority of HN) appear to reside in. It seems like you probably just don't exist in the same culture - but there's nothing wrong with that, you just have to be aware that that's how we do it.
Crocker's rules are about not burying honesty beneath politeness.
Someone can maybe squint real hard and see the word "Hey", in "Hey, the site is down" as politeness obstructing communication. But at that point, I hope the person seeing it this way operates under Crocker's Rules, because I would say they are a moron. There is a world of difference between basic human pleasantries and niceness that actually obscures communication.
Crocker's rules also explicitly state that others are allowed to disregard niceness, not that they are obligated to. Indeed, if you are offended or bothered by someone being polite, then under Crocker's rules, that would be your problem.
This has absolutely no relevance to Crocker’s rules. This is just normal human pleasantries.