Also, I can see kWh just as we see gallons of gas. I can watch wh/mi just like mi/ga so for me it is important to know the right amount. But as you mentioned, that closing statement...
Also related to what the battery can deliver, when you get into the nuts and bolts we have to know the real capacity to understand how it works with the motor. As the information is all skewed up now, it is hard for most people to correlate things with factual info. When you post correlations based on bad numbers... people who know the science behind things question your ability to analyze what you see and can discredit you by saying "the numbers don't add up" and they are right... black magic you say. In-fact if we had all accurate numbers people could draw much better conclusions from anecdotal experience. Anecdotes atop inaccurate data though.. whew that's rough.
With all that said, given an understanding of the power a controller can output and a batteries true size, we can get a reasonable estimation, in our heads about how long it can ride, how badly it will heat/not heat, how long it can maintain peak power out excluding motor or controller thermal issues.
It's really important to understand the truth otherwise you may as well just stop thinking and believe anything anyone tells you just because. I don't subscribe to this is how people say it is, so why should I care about how it really is. I prefer the scientific approach, make assumptions based on accurate data and then learn from there, when the data is inaccurate, it makes working on things exponentially harder.
And once again, I am not faulting the OEMs for doing things with bad math, it is how they were told to do it by the governing bodies. I just want to put the info out there for anyone that cares to do some science.