I know that the pin 4" from the PAP will give me more length
and back end snap.  What is the difference in reaction as I
move the CG farther away from the PAP, going from 4x1 up to
4x4?  Thanks.

i thought puttin the pin closer to your pap got the ball into a roll earlier not the cg.

Plus40 pretty much got it.

The pin position at 3 3/8 from the PAP provides maximum flare potential for that core and ball combination.
 
Move the pin towards the PAP and it will flare less and hook earlier. Move the pin further away and it will flare less and hook later.

Higher pins in relation to the center of the grip create length lower pins give earlier hook.

The same with the CG, as you move it closer to the PAP the ball will roll earlier. Further away the ball will roll later.