Haters seem to be an automatic consequence of fame.
Anyone famous knows how random fame is.
They're not just saying "It's unfair that so-and-so is famous," but "It's unfair that so-and-so is famous, and not me."
Not only do people who do great work never become haters, haters never do great work.
Since haters are equivalent to fanboys, that's the way to deal with them too.
There may have been something that set them off.
But it's not something that would have set off a normal person, so there's no reason to spend any time thinking about it.
It's not you, it's them.