Just like some boxers have faster hands than others.
I agree. Having fast hands does move the weapon/tool faster for some, in most cases. Pool, yes, but in varying degrees in other sports.
The type of stroke plays an important role in the results, also. Buddy Hall has a more deliberate stroke, and still seems to get quite a bit of spin on the rock.
Probably, the mark of a good player is the ability to balance the speed of the stroke with the spin applied to get the maximum movement out of the cue ball.
Best,
Mike