Yeah you've got to look inside.
Hi
You said "....the halfshafts were missing.. "
In that case it's easy to see what's inside. On one side (Passenger I think) there's a big cover held on with like 10 or 12 bolts. Drain the fluid and undo those bolts and the differential will come out for inspection. To close it back up, just put the cover back on and re-tighten the bolts. You don't have to measure or shim anything.
Then you said
"... I'm more concerned about the limited than the actual gearing. I've been told that with most diffs a test for limited slip is to get both rear wheels off the ground and spin one. If the other spins in the same direction then it is LSD, if the other spins in the opposite direction then it is open diff. Is this not the case with the Milano transaxle?...
That would be the case for the Milano transaxle about twenty years ago when it was new. The lockup available when it was new was 25%. That number was generated by the clutch discs and shim plates in the LSD. Those are all worn out now. The current lock up is number is 0%.
If you want to restore LSD function you'll need to open up the differential and replace the clutches and so on.
Also the crown gear and the differential are bolted together and can be separated. It's easy enough to open up a Verde transaxle pull out the LSD differential, remove the crown gear from the LSD differential, bolt the crown gear to a NON LSD differential (that is an open differential) that you got from another transaxle, put that open differential in the Verde transaxle and close it up.
You now have an LSD differential that you can rebuild and put in your GTV6 or whatever.
So yeah you've got to look inside.
Bye
Hope this helps.