CORRECTION: Sorry, the original version used a mistyped value for the acceleration of gravity. This made most rider power differences between bikes too small, but not by enough to change the conclusions. The spreadsheet screenshot and text below are now correct.
I used the spreadsheet simulation below to evaluate this claim for 2 common ride scenarios — a "climb" up a 5% grade at 3.6 m/s (8.0 mph), and a "cruise" on the flat at 6.7 m/s (15 mph). Both are steady rides on smooth pavement in still air. The simulation includes a model of the power-sensing PAS in Specialized mid-drives (Rows 23-29).
Going forward, "SL" means the Vado SL 1. The sheet shown is for the ECO climb with my SL and rider weight as examples. Ran versions for all of the bikes and scenarios discussed below.
One way or another, the claim always came up false.
View attachment 194564
The simulation compares 3 bikes (A B, and C) at once. The rider's weight is always mine.
Bike A. My SL (Column C) has a
mass of 17.3 kg (38 lb) as ridden. Add my own 87.3 kg, and gross mass comes to 105 kg (not shown). And per reliable sources, the SL motor and battery account for only 3.75 kg (8.25 lb) or 4% of it.
The corresponding gross
weight is 1025 N (Row 7). This is the
only weight that counts in slope and tire power losses. The coefficient of rolling resistance (Crr) and drag factor (Ka) estimates in Rows 8 and 9 are based on credible sources.
Bike B. This is just Bike A, still with motor and battery, but with their 3.75 kg weight magically removed. Per Row 32, the climb in my factory ECO (35/35) would require 8W less rider power (Pr) on Bike B than on Bike A.
That Pr difference is ~10% of the roughly 80W of mechanical motor power (Row 34) used on the ECO climb. It stays at 8W with both bikes climbing in OFF. And on an ECO cruise, it reduces to a negligible 2W.
Conclusions:
1. Motor power's offsetting a lot more than motor and battery weight on these ECO climbs and cruises.
2. Motor and battery weight have a small impact on the SL's Pr requirements on ECO climbs and cruises.
These results refute part of the claim in two common ride scenarios. They probably extrapolate to normal riding in general.
Bike C. This is the claim's best-case scenario — an unassisted "racer" weighing 6.8 kg, the TdF minimum. Its Crr and Ka are 20% less than Bike A's.
The climb would require 55W
more Pr on the racer than on my SL (Bike A) in ECO. This huge difference reduces to a still substantial 22W on the ECO cruise.
More conclusions:
3. The climb would be significantly harder on an unassisted racer than on an SL in ECO.
4. The cruise would also be significantly harder for the racer, but less so than the climb.
5. The racer would always be significantly easier than the SL in OFF.
In short, the racer and SL have significantly different Pr requirements in two common situations. This is true whether the SL is in ECO or OFF, and would be even more true with a less extreme road bike in lieu of the racer. I think it safely extrapolates to normal riding in general.
This refutes the rest of the claim.
NB: These simulations look only at rider power requirements in steady riding. They say nothing about weight impacts on responsiveness and handling.