sorry but no, the motor coil resistance is just 16 milliohms...that is not going to have much of a damping effect. If you add an rc damper then that will be very dissipative, and not worth it.
Admittedly when the motor has gotten up to speed, then there is an effective resistance in the motor coil, due to the "work" being done by the motor....but what about when the motor starts, and is stationary or very slowly rotating, -at this point, the motor coil looks like a pure inductor, and this will resonate like mad with the dc link capacitor...especially in the case of locked rotor.
I tell that the schematic in page 2 figure 1 off the above microchip reference is surely the only way to do it.....the current limit resistor there is a fast current limit, and is the only way to do it surely.....
Needless to say, the microchip reference does not reveal why the figure 1 does it like that...its an industrial secret.