HFD
Nice try, but still not convinced.
Turning into wind first makes it easier to pick a field because you're looking for one that's aligned parallel to the aircraft.
also true if you are pointing downwind. Plus you will have a greater area to select from.
As long as you hit High Key, the procedure will work irrelevent of how you got to High Key. My point is that turning downwind will give you a greater selection of fields.
I know that this is a generalisation and turning downwind could take you out to sea or over forests or built up areas, but as a statistical model, it will yield more varity of fields.