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I'm afraid it is not so.
This discussion is even more interesting now that the LR has gone and its possible to buy a Performance, but without the Performance Pack and with the 18" aero wheels! I wanted a LR, with Tow Bar. Sure, the extra performance is nice, but more important for me is the tow bar. I had planned to go for 18 aero wheels anyway. I think 20" wheels on UK roads would be hard work, literally.
The suspension height and tire weight rating are very good points but another one being overlooked is warranty.
Tesla has made the choice that P model warranty is worth the risk and that towing with the lower power versions will result in minimal warranty exposure but maybe they are concerned that P and towing together might overexpose them to warranty claims.
Still extra warranty risk exposure even if the car is not using the high power and towing at the same time.