I'm having a hard time understanding the question, in particular this,
"The majority of pinless designs anchor the pins to the bridge rearward of the saddle and from above the top "
Is it pinned or pinless???
I'm thinking you are talking about the belly? The part of the bridge that is rounded out behind the pins when looking from above?
If so I believe the primary reason for that was to give the bridge a larger foot print for it's gluing surface. It also rounds out the stress caused by the bridge rotation too. In cross section it's typically rounded out like an airplane wing. That reduces weight and feathers off an abrupt stress riser as well.
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