I am currently using the StarCom SR-3602 with the RDA3567 chip and it is OK, it wobbles but only dependent on the temperature. In quiet weather I can keep tuned to an SSB QSO quite well, but when it is windy and raining it wobbles.
And of course it is not stable enough for digital modes.
However, as with the other types mentioned here, I have heard that not all SR-3602s are created equal. Your mileage may vary.
I also have a SR-3604 (4 output version) and it has 2 completely different chips, KTB1051, not a 4-output chip and not the RDA. I have not tested it with the satellite yet, only opened it to see how easy it would be to modify for external reference.
(I have not been able to get datasheet or application note for the KTB1051)
Currently I am experimenting with the beacontrack code from PE4WJ and this improves the stability a lot. Long-time drift of course is zero, but it also tracks the wobbling quite well.