Wheel Alignment/Mis-Alignment does not usually correlate with vibration.
Wheel balancing is a possibility, but seems unlikely as he had stated that he had checked wheels on other cars.
I'll throw out one other possibility that is harder to diagnose. This is possible wear in the rear drive axle(s).
If you get a drive axle with some notchy-ness in the knuckle, this can cause mechanical oscillations that will vary with speed and also with the viscosity of the lubricant in the joint.
It will also vary with angle of the axle shafts. SLS system reduces the variation in angle of the drive axles.
W140 is a car that runs so smooth that all these tiny imperfections become notable.
To eval the state of the drive axles, you can check sliding axle IN/OUT with car on an alignment setup, but car has to have been driven for a couple of hours to get lubricant all warmed up in the knuckles of the axles.
The other method is to remove the drive axles. It's really easy to diagnose then. It has the added benefit of re-packing/topping up of the MoS2 slurry mix and all that is required are new Oetiker clamps which are cheap; around $1.50 ea from MB.
You can also swap Left & Right axles to reverse the drive direction and extend the life of the axles that are ~$900 ea.
If it is the drive axles, then there will be vibrations as well that can correlate with little noises in plastic and maybe door seals; not just the steering wheel.
The W140 is a car with a standard of perfection that is so high that there almost always something that is not quite right or up to that 'original' standard of perfection at this age.
Pick your battles judiciously.