Rear End help!

Anyone else have an idea?? I jacked the car up & tried to duplicate the action , but nothing the rottion is smooth & straight, w/ no play when I attempt to move the wheel by hand!

Clutch type LS diffs need the additive to allow them to slip smoothly around corners.
Not sure on the cone type but it wouldn't surprise me.

Spools have ZERO give EVER, unless they spin one tire, strip splines or snap an axle:D