This is a very interesting thread.
My $0.02
It may interest you to know that BMW no longer list a slipper as a option on their cars, M's get a active diff and the normal road cars rely on the traction control. How very boring, mileas away from the good old days and not really 'the ultimate driving machine' is it?
The Omega rear suspension is very very similar to that of the BMW E34 (1989-1997 5 Series) and those cars suffer from serious void bush wear if a slipper is fitted, also BMW fitted LSD to large engine manual cars but is was an option of all autos.
The reason not to have a slipper on an auto is that if the wheels begin to spin, and the car steps out of line the drivers response in most cases is to close the throttle (some of us go wahey and plant it humming the theme from Dukes of Hazzard).
The auto box uses its very simple logic to equate wheel speed to engine speed and throttle position and change up to top. The car then GRIPS with the wheels being driven at the tickover creep speed.
If you have opposite lock on and a slipper probably puts you straight into the nearest wall. With out a slipper the one wheel would spin only and the angle of drift would be less, but less under control.
On a manual this is not a problem as the quickly closed throttle would have a braking effect on the rear wheels which with an LSD will tend to pull the back of the car back into line.
On a manual the LSD helps the driver reatin control by 'locking' the axle and allowing a skilled driver to control the car.
On an auto the driver has not got full contol of which gear he is in, and as the gearbox changes up to top the torque is reduced thereby causing the sudden grip.
My XJ-S has a 3 speed auto, a Locking action Powrlok LSD and a creep speed of about 30mph. Caution is advised, if it slides the best thing to do is to hold the throttle position and steer through it. I have never been brave enough to try this!

An LSD is a nice touch for very fast road driving or towing or if you often drive in treacherous icy conditions. For most it is not necessary.
In my humble opinion.
