The long answer;So it actually does effect the POI or you would not have to zero back in. Does the higher rings cause the POI to go up or down before rezeroing?
The scope is mounted to the bow at 0.65 degrees which does not mean anything except for "matter of fact".
If you raise the entire scope up with scope rings that are 1/2" taller, the POI would be 1/2" low. As I am a type of perfectionist, (German descent) , if I took a scope off and replaced the scope rings and then remounted the scope, I would be re-zeroing and/or double checking POI.
Let's just say that your two scope rings are 4" apart. If one ring is 0.003" (1-1/2 times the thickness of a human hair) taller or shorter, that equates to a 1" POI difference at 40 yards which does not include that 1/2" low POI with 1/2" taller rings.
The short answer;
You change the rings, check and/or re-zero your scope.