John:
I think the best source for discovering history are photos of the day. There is no doubt when looking at old photos that the red Strahle RSR was the same car with the same rear flares that ran as #107 at the TF. Two characteristics reveal the truth I think. The small dent in the rear flare and the mud flaps that no other RSR used.
We all know that factory records and those in books...and memories, sometimes get mixed up, but photos showing unique details are pretty infallible I think. I can't argue which VIN it had originally, but I would be willing to bet a steak dinner that it was the renumbered 360 0002. And it never ran at the 72 TdC.
Edit: Added a few more pics.