I am bored because it's summer and I can't go riding, so I have a question regarding boards that I wonder if you could answer

The reason I ask is twofold:
1) I like to ride fast, so I think I would like a 13.3 m sidecut. But I am short and have small feet, so am perfectly sized for the 161M, and besides, I enjoy having a small board - very maneuverable. So what I really want is a 161M with a 13.3m sidecut.
2) Sometimes I feel on really steep slopes, I gain so much speed during the course of the carve that I end up at the bottom going faster that the board wants to go. That is, by the end of the carve, my speed exceeds that which the sidecut radius can support. Most of this is because my technique is still poor (as Patrice and Nils can attest to, right?

Anyways, is there any reason to do with body weight or sizes or any other mechanic of snowboarding why the shorter boards have shorter sidecut radii?
Thanks!