I called Four Seasons reservations and they say I have to book it through Amex and they won't match any FHR benefits.
If I book the FHR rate through Amex I lose the 4th night free, this amounts to $800.00 over an eight night stay. I won't stay there knowing that the person in the next room is paying $800.00 less than I am, just because I am the wrong nationality.
So far I have gone from being quite happy with this card after my Las Vegas hotel booking, to being pretty well disgusted about the Lanai booking problem. It remains to be seen how long I keep this card.