I think your connection drawaing is correct.
The only function of the diode and capacitors are to minimize the interference created by the motor into the power suplly lines, which could affect the electronics on board (receiver).
This interference is because the inductive behavior of the motor.
There are no gain in power because the diode or capacitor.
Schottky diode are used because their high speed of commutation, comparing to other regular diodes.

Nilo