Hmm, that's got me thinking about it.
Yes, the diff locking at low speed is likely to cause both wheels to spin and slide. At low speed it is usually controllable, the car is set up to drift.
What would happen at higher speeds if the same happened? Is the breakaway less predictable?
The speed will make it harder to catch and correct. Wet conditions will again make it more likely to slide and harder to correct.
I've had the back end step out a few times, usually on hairpin bends, roundabouts and junctions at less than 40mph and survived.
I've not had it happen at 60mph mid corner, and don't relish the thought of finding out.