Thanks for your replies..
1. Myles. yes with no load on either wheel, axle in the air, propshaft disconnected, if you spin one wheel, the other will turn (in the same direction of course). If you try and stop the other one from moving, you can't - the two wheels are locked together.
2. Gambo. If my car has a ZF plate type LSD (how can I tell?) then am I right in thinking that in no load situations such as one I have described above, the plates will immediately rise up the ramps and lock the axle solid? If so, I have nothing to worry about. Even so, I am surprised that with somebody at each wheel (ie putting some load across the axle) we cannot induce any slip whatsoever. Is that correct?
don't worry, they all do that sir!