When I wrote that, I was referring to the
thread that
@Oso mentioned, where someone did a series of runs (same path) at different speeds, and used the battery capacity left to determine empirically what was the most efficient speed. My comment was simply that "my" method of recording the power consumption at different speeds would in theory come to the same conclusion, meaning to identify the "best" speed.
I said that intuitively, but I actually found a way to demonstrate it, if this is what you want. Here's the reasoning: with my method, measurements come down to watts per mph for each run, with the lowest being the best. With the other method, they measure the capacity left for each run (the higher, the better). Since the battery doesn't change, that is equivalent to measuring the capacity used for each run (the lower, the better). And since they know how long was each run, this is equivalent to measuring the capacity used, per mile. Now, "capacity" is the total energy stored in the battery, so the actual unit of measure is Wh (watt-hour), which means that effectively their method comes down to measuring Wh per mile.
To recap, I have watt per mph, they have watt-hour per mile. But W/mph = W/m/h = Wh/m. Hence, we're ultimately measuring the same thing, and, in theory, we should come to the same conclusions.