Its the Detroit for sure.
Agreed. Detroits (and lunchbox lockers) have excessive backlash. I like them for a front diff, but too much slop for a rear.
I've always ran welded rear diffs, but I traded for a detroit and swapped it in my rear diff. After about two months I put my welded diff back in because I did not like all the slop in the detoit. Seems to me that the extra backlash would be harder on the gears and shafts. When you roll back on a hill and dump the clutch the backlash allows the shaft to slip enough for it to ramp up to speed and then engage violently.
I'll stick with my welded diff in the rear and leave the detroit for a front. Just my $.02.