Yes, with a whippy Olympic bar, many of the best lifters can time and feel the whip, and get a few extra pounds out of it during certain stages of the lift.
With a powerlifting bar, the movements are slower and simpler, so stiffness wins out. there's less/no whip, so you're less likely to be thrown out of the groove.
The last bar you may find is a Deadlift bar used in some powerlifting feds. The longer length (7 1/2') and thinner shaft cause more deflection under load (they bend more

). This can shave a tiny bit of distance off the lift at the start, and many people seem to enjoy more pulling strength with a thinner bar (Pushing tends to favor a slightly thicker bar).
Edit - here's a good look a top OL lifter using bar whip (at the dip and catch, and the jerk) -
.