I like you DC. You're inquisitive, always learning and trying better ways to do stuff. I couldn't tell you how many times I've modified my tiller tree.
My tree is set up to either hold the bow level, or to allow it to tip. Limb balance can be achieved either way.
I made my tree cradle so that as-is, it supports the handle near the outer margins, and this is how I do most of my work on the tree. Bows can be dynamically balanced quite well that way by drawing the string where the middle finger will be.
But I also made inserts of various shapes that drop down into the cradle. They sit solid and don't move, but can allow the bow to tilt. One is flat, one's a symmetrical arch, and one looks asymmetrical very much like yours that can be flipped either way. I also have a short piece of a halfround file that I can use on the flat insert to move the bow hand pivot/fulcrum anywhere I want.... either to place it exactly where I want and then effect balance at that point through tillering, or to move left or right until I find out exactly where a bow's balance point currently is.