I'm not sure what you mean when you say we can't use rated range to talk about energy just because there is some complexity to how a rated number is generated inside the car to display to the driver.
The amount of energy to drive one mile under the EPA test is defined by Tesla, along with the EPA and it is a set energy unit. The number of Rated miles displayed to the user may be much more complex, but that doesn't make talking about "rated miles" as an energy unit invalid. And yes, the EPA has documented the number of kW used in 100 miles during the EPA tests, and that is a "rated mile" energy unit. That part of it is not changing with any software and it is public.
We can use Jules, or Wh, or kWh, or rated range. Yes rated ranges energy unit can vary a bit (~302 on newer cars, or ~306 Wh/mi on the oldest cars) and yes the cars available rated range is modified by the software to try to account for the cold battery and warming, but I don't think that has any bearing in this case. Isn't the question simply: If the battery is out of balance, how much does that reduce the range displayed by? In this case it's about half a volt on pack voltage. If you want to accurate to within a few percent, you can take that is that voltage on top of the pack range.
If you want to attempt to be more accurate, you can take pack capacity ~80kWh * .576/110.4 =~ 417Wh. If it makes you feel better you can then choose your own favorite rated/ideal mile energy unit, or none at all. Of course, I trust my understanding rated mile energy units more than any pack capacity calculations, but that's just me.
If you are really looking for issues with my simple voltage -> energy calculation you should point out that a battery doesn't hold the same amount of energy per volt thorough it's range. While true, the amount of energy at the top and bottom of the voltage range is the smallest, and would only server to reduce the impact of the pack being out of balance.
Again, while true, I'm not sure why this has any effect on talking about balancings effect on range.