Chiming in to add a DP, I stayed in HR and PH last year.
HR didn't even offer me any kind of minor upgrade let alone a suite but on my two night stay on PH, they apologized to me for being out of suites for first night and asked me if I wanted to move to a suite on a second day. I didn't even ask for it. Obviously, YMMV.
But if you really want it, just burn a TSU. If you kinda sorta want it, trying Prive is an option.