We now had several locks with the PRCL UGF on. In each lock there were different TCS settings and different thermalization going on. Nevertheless the behavior is quite consistent.
The PRCL gain needs to be increased by a factor 3.8 in about 400 seconds.
A fit of one of the trends shows a good match with an exponential thermalization with a time constant of 100 minutes.
We could switch off the PRCL UGF servo (and the 52.1 Hz line) and hard code a gain change as above.