When my brother owned his shop, they hated doing differential drains/refills or anything else to do with them. Especially the Fords. The bolts break on them more than any other place on the vehicle. Don't know why for sure, they just do.
When I put the 3.73 rear end in my Mustang, nearly half the differential bolts broke. I think it was the 'loctite' they used on them. If I'm not mistaken, the factory bolts have some kind of dried loctite on them and they're serious about staying in place.
Never saw a torque wrench used on one. Ever. And I've seen several of them put back together. You even mention a torque wrench and they look at you like you just insulted them.
Do these new differentials even use a gasket anymore??
BTW, 32 lbs of torque is too much, IMO.