I think you might be right about 2x being too much. Attached is an image that lead to that line of thinking but it's only valid for the points indicated.
I think the real difference is in running length. The nose and tail would still be the same length but they would begin elevating before they are supposed to. The overall board length will remain the same because we are not stretching or shrinking it (the base material is cut and the edges are attached).
As for measuring... it's not a clean measurement to take because it's tough to identify the exact point where the curves begin and end.
I've got a free pack of inserts for the first person to definitively solve this conundrum with a replicable, verifiable calculation
