I have done UA training in full motion simulators both as a trainee and instructor. I would be suprised by any IFR sim course that does not do them. There is one important difference though, and it is the reason that I advocate UA training in an actual aircraft:
Sim "full motion" equals Aircraft "very restricted motion".
That is important in UA training because of the lack of significant, and/or unrealistic vestibular stimulation of a "full motion" simulator. In my opinion, the likelyhood of getting into a UA is directly attributable to the accuracy of the pilot in the correct interpretation and processing of vestibular stimulation. If you dont have an accurate stimulation, it is therefore very difficult to truly train to cope with actual UAs in a real full motion aircraft situation. That is not to say that the simulator is useless, rather it's use is to teach and embed procedural reactions to UAs to be then confirmed in the actual aircraft using real vestibular signals.
Inadvertent IMC is a great one to use the sim for as you can really do it a low level, low speeds in valleys and see the outcome. Fantastic.
Recently we were doing an NVG trip in a full motion sim and were able to accurately simulate a brownout/whiteout on landing and take off from a confined area. It was one of the most realistic simulator experiences I have had, and is almost unachievable using a real aircraft.