It should, since the control scheme is practically just a remap.
"Should" doesn't really mean much.
For reference, The Elder Scrolls: Oblivion for the PC did not port over with native control for a 360 controller on the PC and it pissed people off to no end, myself included. That game's controls for PC were also "practically a remap," which means when they ported the title to PC they actually removed that piece of code from the game.
It was modded in but the controls were never as smooth as playing on the Xbox.
The PC keyboard/mouse controls are much, much better for precise control of this game, but sometimes it does just sound really good to put your feet on the desk, recline deeply in your leather deskchair and continue playing with a controller.