It might be interesting if it were true, but it’s not.
Battery capacity, which is rated in mAh, has nothing to do with AF speed. A properly functioning battery will deliver a consistent voltage during use, and for most current Canon ILC batteries that is 7.2 V DC. That’s the voltage delivered by the LP-E6/N (x0D, xD, R), the LP-E17 (some Rebel/xxxD, M5/6, RP), and LP-E12 (SL1, M50). Battery capacity merely determines how long that battery can continue to deliver the designated voltage. Any differences in AF speed are due to camera firmware differences, not battery capacity.
The exception are the 1-series bodies, which are able to drive lens AF motors faster because the batteries deliver a higher voltage (11.1 V DC).