Making a blanket statement that there is never any need to disconnect the driveshaft on a rwd car is overstating it, by more than just a little bit. Fact is, the output shaft of the transmission is spinning. Problem is, it's getting no oil. The oil normally gets pumped by the input shaft and lay gears, which are not turning.
Now the output shaft is not under any load, and there is some residual oil up there in the bearings, so you're ok...for a while. Exactly how long that while is, that varies.
Having towed dollied cars backwards many times, built trailers and hitches, and a number of other interesting towing things, I can say with confidence, knowledge and experience that it's hogwash that a tail-up car on a dolly is going to sway wildly. It will not sway at all. It is no more prone to swaying than the trailer of a semi-rig. There are many things that cause sway, towing a car tail up isn't one of them.
U-haul does not have the Spitfire (or any Triumph) in their database, but that does not present a problem. They do have the MG Midget and such. Most of their local rental folk understand little british sportscar. They are less understanding of overloading the tow vehicle these days though. Overloading your tow vehicle is stupid, dangerous, and illegal.