The Hawks got a favorable Round 1 matchup because their spread-the-floor style rendered center Roy Hibbert, the hub of Indiana's defense, inoperative. In Joakim Noah, Carlos Boozer and Taj Gibson, the Bulls have more mobile big men. They wouldn't have had the same issues defending the Hawks' perimeter shooters the Pacers did. The Wizards aren't as good defensively as either Indiana or Chicago, but their guards -- John Wall and Bradley Beal -- would have hurt the Hawks in a way the Pacers' George Hill and Lance Stephenson did not.
I don't know if the Hawks would have beaten the Wizards. (I'm reasonably certain they'd have lost to the Bulls.) That Indiana surged from 19 points down Sunday night to beat Washington and take a 3-1 series lead tells us little about how a Hawks-Wizards series might have gone. Hibbert did nothing against the Hawks over the first six games; the Wizards' Nene and Marcin Gortat would surely have made the Hawks work harder underneath.
The longer Round 1 went, the more we saw why the Hawks were a No. 8 seed. The 3-pointers they made early in the series stopped dropping -- they missed 59 of 79 treys over the final two games -- and they had nowhere else to turn. The guess here is that Washington's quickness would ultimately have undone the Hawks, who apart from Jeff Teague aren't especially quick, but we'll never know. Yet another what-if.
Oh, and before you ask: The Hawks would have stood no chance against Miami -- this assumes the Heat will beat Brooklyn -- had they reached the conference finals. They'd have done well to win a game.