Well perhaps it should die, because what they do as an organization has little bearing on the Wings. Caring a hate-torch for the Hawks is petty. It's what Chicago did when they were jealous of Detroit for 20 years. I don't want that going the other way while they're on top as Detroit retools.
So, unless they're beating the Wings in the Cup final, or keeping them from making the playoffs, I'll reserve my loathing for teams like Tampa, Montreal, Boston, and eventually Florida and Buffalo.
But this is just how I feel. Personal preference.
How is hating the Blackhawks more petty than hating any other team in the league? Hatred isn't rational. It's part of being a fan and having rivalries.
For me it's not only deeply ingrained from the longstanding Wings rivalry, but it's also that their current roster has several players who are pretty easy to hate compared to the Lightning. Then throw their fanbase on top of it and it comes pretty easily.
If I'm picking a team I'd want to win the Cup that's not the Wings, between the Blackhawks and Tampa, it's a pretty easy choice. If only to make Eddie Olczyk shed tears that subtly interfere with his happiness.