In my opinion, if you are only contrasting the golf courses, it is not even close. I think Pete Dye Golf Club is the far better golf course. it is far more strategic and requires a great deal more thought than Pikewood. From the 1st tee, Pete Dye GC is in your head. Almost every shot has a decision to be made and an angle to be determined. In fact, I could argue that Pete Dye GC is one of the best designs in terms of angles of play for a non-links golf course that I have played. On the other hand, there is little decision making at Pikewood. There is rarely a tee shot at Pikewood that requires thought or any angle of play and there is little strategy in terms of how to play a hole.
I just think people get lost in the views and exclusivity of Pikewood. If you are asking to rank total experience, I think you can have an argument either way, as I really did enjoy my day at Pikewood. It is a great place. However, the golf is better at Pete Dye Golf Club.
And I don't care about exclusivity - in fact, it is one of my biggest annoyances about some people's opinions on golf clubs. Why should exclusivity be anything that a golfer cares about or values? Yet, I know when I read certain people's posts on this board that exclusivity is the basis of their opinion.