OK, out of the top 10 players in the world:
Woods: Has played a draw, now seems to be hitting a lot of fades
I made an attempt to find each player's shape, if I couldn't find a definitive source I went by left/right tendency on the PGA site. You can all nitpick that player X hits Y shape, I don't care as this is just a quick point. Looks like 4.5/10 are faders while 5.5/10 hit a draw. Tiger is split because he's played great with both in his career. No indication that it actually makes a difference as far as OWGR. Both can work, as long as the player can generate the trajectory to get the ball high.
I think players don't work the ball much. With the exception of a few players, most will stick to a comfortable shape unless they feel they need to hit a different shot. And as was said, they mostly hit minor shapes of a couple yards either way. They're shaping it in a way that means they'll hit a green if they draw/fade, over draw/fade, or push/pull it straight. Aiming at the center of the green, their shot cone is tight enough to hit an area smaller than the whole green in most cases.
As for the fade stopping faster/draw being longer, it's a myth. It's not as if these players can't stop their ball on the green with a draw. You're talking 4 or 5 degrees of change in the spin axis, and people think it will affect the roll? It's almost all backspin, and any affect on roll is the result of contours on the ground. And many of the longest hitters like Mickelson and Bubba hit big fades, while Luke Donald is a relative short knocker who draws it. We also see both patterns relatively split in the GIR rankings, with Snedeker being the worst of the top 10 and a fader, though both shapes are relatively evenly distributed.