Baseball physics question: hitting for distance vs speed of fastball....

when I was young, my dad used to say, the harder the pitcher throws, the further you can hit it. When it comes to grown men though, is that really the case?

The simple question I ask is, if the pitched fastball is squared up on the bat the same way at 65 mph vs 100 mph with seams the same placement when it hits the bat, does the 100 mph fastball bend the bat backward with enough force, it goes the same speed or distance as the less powerful pitch at 65 that doesn't bend the bat backward as much? Or does the 100mph pitch bounce off the bat harder to go further? Lets assume it's an MLB homerun hitter swing