I think you are right on this. In researching this some more, I'm reading that ScanYourTesla reports the 82kWh battery as 78-79kWh, as that is the usable capacity. There is another 3 kWh or so allocated to the buffer which when added to the usable capacity totals 82kWh.
Given this, it looks like the RWD does have the current 82kWh pack of the LR. Also, the RWD seems to have more access to the capacity than one would expect from the range rating. In theory, 260 miles / 330 miles * 79kWh should result in a 62KWh capacity. However, the energy app seems to think the car has access to 69kWh (for example right now the average consumption in my car is shown as 216kWh/mile with a 115 mile estimated range with 36% battery). If that is the case, then only 12% or so is being limited, and this would line up with the fast charging behavior where at 99% the RWD has a similar charge rate as the LR at around 90%.