Your driller must think that drilling out the pin does something to the core to increase the ball's reaction. I'd like to understand how it does that. I had never heard or read of that before, but then I haven't heard of everything and have been wrong more than once ...
I'd be inclined to think that the difference in the ball's reaction (other than what was taken out of the core) is based on the differences in the pin's distance from the bowler's axis point (PAP). The higher above the bridge the pin is, the greater the distance from the PAP (= less flare) and the higher the RG of the drilled ball (the longer it will go before revving up).
If one of the driller pros can explain another difference, I'd love to learn. (No sarcasm is intended in any of the above statements.)
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I found balls with pin above ring finger and CG below will go longer and hook less than the same ball with the pin below the ring finger and the CG stacked below, but the difference was not huge, but it was sometimes significant. In fact there are 2 pearls that I will be redrilling to place the pin above the bridge, just to make them go longer and to reduce the reaction; I don't expect a HUGE difference.
I'd expect putting pin in the ring finger to make less of a difference.
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"Just because you can do something does not mean you should do it."