Yup... it's a brushed DC motor alright... The values I used for R and C are just a shot-in-the dark... I guess calculating them could be quite a hassle, considering that I don't have all the motor's info yetIt might be useful if it is a brush motor, so I would leave it. It might damp some arcs and sparks. It should be at the motor.
But your right the voltage is clamped first by the diode (for a very short time) then the FET turns on and shorts the diode.