How much it matters depends on how the bow was designed, I think.
Each bow has a fulcrum, or balance point to the grip.
What I do to find it: Start drawing the bow with your bow hand fully open. As you draw, you'll feel where the focus point is on your hand. Maybe the throat, maybe not. It's a good idea th have contact with the grip at that point; you can still contact with the thumb web.
Another thing I do when getting to know a bow is hold it by my side in my bow hand, arm extended downward. Where it balances on one finger of that hand tells me where the center spot is.
I think if you grip it firmly somewhere without some support at that point, yes, it can cause problems at the release.
Bows can be somewhere between web of thumb and full palm, of course... you'll need to find your comfort zone with the grip, and the bow's.
Just my .02 cents.