Mark, yeah, I have plenty of considerations beyond 'structural optimum' in wooden bows.
As far as belly shape, I prefer a radiused belly for several reasons. I like the look. Flat bellies look unfinished and unrefined to me. It's just my preference, but I don't want a flat spot anywhere on my bow if I can help it. All rounded and curvy and smooth looks and feels more natural and attractive to me. I like how they better create a sense of 'flow' from end to end and all around, can't hardly tell where one part stops and another begins.
Imo, a perfectly flat belly shape can be harder to maintain during construction, more-so the more character a stave has. It's more difficult to navigate flatness around snakey grain with leans to and fro or humps and dips. Radiused bellies just seem to transition through that stuff with relative ease. They also mate better with my favorite handle design, which together allow added on handle pieces to be feathered in from working limb laterally as well as longitudinally, which I suspect in composite bows, distributes those stresses over more and different area and means less chance of a glue joint failing with no need for pedestals, powerlams, etc.
Speaking of thin hickory backing. I made a black cherry bow with quartersawn hickory backing, just 1/16" thick. Its cross section is squashed down compared to an osage bow but the belly is fully radiused, 1 5/8" wide, 68" ntn, and 58# @ 28". Still holds glued in reflex and cherry feels light as a feather. Even cherry doesn't 'have' to be flat.