I’m not seriously challenging you but more just playing devils advocate....wouldn’t the sliding friction in a system like this be relatively minimal? The cable interfaces with all of its touch points in a rolling manner so I would think that the sliding speed from your equation would approach 0 in an idealized scenario. I wouldn’t expect the cable to heat up much due to friction.
That said I am 100% certain the hundreds of licensed PE’s involved in the development of this project and all of the components involved have covered this infinitely more thoroughly than
@Obobru is giving them credit for.