Switching frequency will not change power delivered to the prop, in fact switching is a loss in the system, so you want it set as low as possible. With our motors 8 kHz is more than enough. It may look like more amps, but it is just going out in losses (heat) in the ESC and never getting to the motor.

Timing has an effect on amp draw, but incorrect timing induces additional losses/heat in the ESC, and less RPM and/or amp draw at the motor.

This is why knowing the RPM is so critical when testing, as that is the only way of comparing the "power" the motor is outputting for a given change.

For example, if you change the switch frequency, and you see a 2A increase and no gain in RPM, then you know the 2A are being lost between the battery and motor (likely in the ESC) as heat.