Reading DC rms/average voltage from a pwm signal

I think the averaging of the PWM pin using the LP filter accurately reflects the averaging of the power applied to the motor load.

Unless the "thing" connected to the PWM (with or without a H bridge) sinks constant DC current (i.e. not dependant on the DC voltage) the power is not proportional to the voltage (so the term "average" is misleading).

Regards