If you take a ball with a higher differential, of course the ball is still going to have some flare potential. The difference is where the flare starts to initiate. If you watch videos with a piece of tape on the PAP and the layout has a 5 inch pin to PAP; the piece of tape is pretty stationary through the first roughly 15 to 20 feet and then you see the ball really start to rev up. On a short pin, the tape flares almost immediately, but the core has a much shorter distance to "lay down", so the backend is super smooth. So, theoretically, you could play the same area on the lane, but your look would be totally different. This is why even on Cheetah, you see guys on telecasts still using high end balls with pins 5 inches from their PAP. Where you would see the difference is when they miss inside, you notice the ball check up and go sideways barely hitting the head pin on the brooklyn side. If they were using short pin, the reaction would be smoother overall and may catch more of the headpin even though it still may be on the brooklyn side.
Strider,
It all goes back to matching the ball strength to the condition. For me, on a shorter pattern, I am using an entry level type of ball with a lower differential. Once you get into more league length patterns, you could go with something more mid/upper-mid performance type of ball. Shorter patterns, go with a ball like a Beast or Rhino and league length patterns do something like a Phaze II or Allure Solid.