Most all production automotive manual transmissions are splash lubricated. The input shaft turns the counter shaft/cluster gear which slings oil around. The speed gears on the main shaft are de-clutched from the main/output shaft when in neutral. This means that the vehicle under tow has the main shaft spinning inside the stationary speed gears. Because all the speed gears are stationary the cluster and input gears are stationary and providing no lubrication.
The ZF S6-650 Ford used had a lube pump, but it was on the counter shaft which is of no help with the engine off.
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