At 240v there's slightly more power available to the motor because of less power loss in the circuit wiring due to the higher current at
120v. This is especially evident under high current conditions like startup when the motor is temporarily drawing several times it's normal current draw.If the 120v circuit had half the resistance of the 240v circuit, there would likely be little or no difference in the behavior of the motor. But that's typically not the case. A 20 amp 120v circuit would typically be wired with 12ga wire. A 20 amp 240v circuit would also typically be wired with 12ga wire. Therefore, all other things being the same, the 120v and the 240v circuits would have roughly the same resistance. I'd expect the motor running on 240 under those conditions to have faster startup characteristics as well as being slightly harder to stall.
Tom Veatch Wichita, KS USA