Exactly.
You can take the starter motor from your car, and spin it by hand, and generate electricity. That's because it uses permanent magnets, and spinning it causes the loops of wire in the motor to rotate in the magnetic field.
Tesla could enable a "trickle charge" mode if the car was being towed by an RV. It would use exactly the same approach as regen mode, and could generate as much power to charge the battery as you wanted. But, you'd be requiring the RV motor to generate more power, and would be an inefficient way to do so. It'd be a lot more effective to cover the roof of the RV in solar panels....
A really cool (but really niche) approach would be to hook the Tesla Regen capability into the braking system when being towed, and use the Tesla to slow the RV by charging the Tesla's battery. When the Tesla battery was full, you'd have to switch back to using normal brakes, though. A lot of complication for a few owners for such a small company; but I'm sure that someone will do it 20 years from now when they're searching for features to add to their electric cars to differentiate them.
Technically, there really isn't a reason that I know of that a Tesla couldn't be towed. The motor rotor will be spinning - but the only thing that might wear there would be the bearings, and they'd be under such a slight load that the wear would be much less than if you drove the same number of miles that you towed. The Gearbox will be spinning, but with no clutches the oil pump should be spinning also and keeping everything lubricated - again at much lower load than driving. The oil in the gearbox is unlikely to need cooling at the load levels seen in this application. None of the batteries, electronics, or motor windings will be dissipating power, so none will need cooling. Everything else (driveshafts, etc) don't know the difference between towing and driving, so shouldn't have an issue.
/frank