To again quote Coop:
* "Vpitch = speed of the pitched ball just before it collides with the bat.
Vbat = speed of the bat just before it collides with the ball. This is the bat
speed at the point of impact.
Vball exit = exit speed of the ball just after it leaves the bat."
It seems fairly simple to recognize that an increase to either Vpitch or Vbat is going to result in an increase to Vball.
With regards to moving the mound back, all anyone has said is that they are unable to provide a blanket assertion that moving the mound back alone would result in more reaction time because other variables exist that have to be taken into consideration.