Thanks for the replies. I had indeed immobilized the drive shaft yoke at its input to the diff, so that should eliminate driveshaft u-joints. And yes, I had read JM's definitive post several times. But I do suspect that this is one of those 5% of situations where the diff is indeed the problem. BTW, I did perform a similar 'wheel-rotation-slack' test on another car I happen to have currently on stands, and it had less that 1/4 of the slop I saw on the Z, and the other car has an LSD which I suspect adds even more slop.
So I assume that I've got excessive backlash either between ring and pinion, or side-gear to pinion-mate. Or the pinion shaft is wallowing around in the differential case. I'm sure I'll need more help once I get in there.