There is an extremely small number of rooms at the HRH with king beds, I don't think it's quite as low as 6, but it's well under 100 ... I think it's somewhere around 20 to 30 ...
Anyway, I have had a room with a king bed at the HRH, it was actually more like a mini-suite, and it did have a sectional couch tucked into it's own nook in the room, but it was not a pull-out couch.