Tim & Archie,
I think the greens are different, especially in relationship to their function, in the context of the approach into each green.
# 16 was designed to receive two types of shots, one aerial and one along the ground, hence the rising nature of the rear portion of the green and its large size. Water, a significant hazard also borders the green perhaps influencing its size.
# 2 and # 7 can never receive a shot along the ground, and are designed for an aerial approach.
On # 2, at 367 yards, perhaps the challenge was meant to be the green, whereas # 7 at 585, the green was meant to be a form of relief from the rigors of reaching it.
Just a theory.