I've played the Kings twice and from experience it never gets "saturated" I believe it drains very well as does the Queens which I have never had the pleasure of playing. The lower lying PGA does tend to hold water however they added the subair system to the greens to keep them playable all year round.
The Kings is fabulous, a brilliant experience and amazing golf course which isn't overly tough and very very enjoyable.
Played it the day before the Scottish PGA OOM final last year and it was most def soaked in places so much so they had moved the pins to the high points on all the greens