it does, but at a very reduced rate. on a very new LS that is set very tightly, you can feel it grabbing on all turns. a little driving and the clutch pack will loosen to allow for a little slip on turns, but will still grab tightly when bigger wheel spin occurs.
and often, when turning the difference in wheel speed won't be great. using a new spare with a 50% worn tire can be as much as 1/2" of tread height difference. in that case the tire is always spinning slower than the 1/2 worn tire and the clutch packs are always trying to grab.
I have a AWD Durango as my other vehicle. The owners manual is very specific about using the exact same tires on all 4 corners, and replacing them as a set. It says to minimize use of the spare and only drive on it during an emergency to prevent system damage. Same basic principle, except the clutch packs are in the t-case in a AWD vs. the rear axle
sorry if I came off a bit harch No Longer Jeepin'