One reason the leaves on a drop leaf table probably don't cup as bad as the center surface was that they may not have been used, and therefore cleaned, nearly as much as the center section. Bob Flexner has convincingly explained why almost the cupping on cupped tables is almost always "turned up", regardless of the orientation of the growth rings.
The summary is that when water is applied to the top surface in the form of a damp rag, the wood fibers swell. Since the table surface is restrained by its mounts, these fibers get crushed. When they dry out again, they shrink, which forces the top to curl "up". The leaves on a pembroke table aren't typically constrained in this way, and also would not be expected to be used quite as much as the center surface.
Most all pembroke tables I've seen that are from the age of handwork (pre 1830's) have flat-sawn tops and leaves, not quartersawn.