Thanks to other companies promoting 2 piece or softer compression balls "for the rest of us", and Titleist promoting even top performance balls have to perform at any speed, I've been thinking....
1. Physics being unassailable, at the average driver speed of 90, a softer ball will compress more than a higher compression. But the energy transfer from the head and speed is the same. So wouldn't a higher compression come off the face faster, as more energy transfers to motion? So compression wouldn't impact distance, or at least not make a case for a softer ball?
2. At the highest speeds, those players get more benefit from the spring characteristics of the club face. So for them a lower compression ball may absorb some of the energy and end up shorter? The extra spring is a law of physics that I can't overcome with a 90 mph drive and any ball.
So for the average of us, it comes down to swing mechanics for ball selection, but based on maximizing efficiency with loft effect and minimizing side spin on driver and long irons to help the ball stay on course. Then there are the feel considerations off of the various clubs - and that is personal In the end we all get to balance performance and price - four dollars for a ball can be an issue.