Thrashers won the division in 2006-2007 (got swept, but at least they made it), and they missed the playoffs the previous year by one point in the standings. They've clawed their way back after the death of a teammate (Dan Snyder), just like the Hawks did after Collier. Hawks haven't won the division in a while (never in the Southeast), but even my Thrashers fan friends weren't bashing the Hawks for that 13-win season.
I'm an Atlantan, so I cheer for ALL our teams!! :D