A lot may depend on the TYPE of capacitor and the type of motor involved... Remember there are two sorts of capacitors, and depending on the motor type and design, you may see only one, or both...
From Wikipedia
Given that the period of a 50hz current is going to be different than that of a 60hz current, I can think that changing the size of a cap-start motor's capacitor (which changes the time constant of the circuit) might definitely improve a motor's starting ability, without changing it's running characteristics AT ALL since the start cap is taken out of the circuit as soon as the motor is up to speed...
Likewise changing a run capacitor might also improve the situation, as again you have slightly different time constants involved.
Gooserider
From Wikipedia
Motor capacitors include 2 common types, run capacitors and start capacitors :
Run capacitors: - Run capacitors are designed for continuous duty, and they are energized the entire time the motor is running.[1] Run capacitors are rated in a range of 3-70 microfarads (mfd), with voltage classifications of 370V or 440V.[1] Single phase electric motors need a capacitor to energize a second-phase winding. If the wrong run capacitor is installed, the motor will not have an even magnetic field, and this will cause the rotor to hesitate at those spots that are uneven. This hesitation can cause the motor to become noisy, increase energy consumption, cause performance to drop, and cause the motor to overheat. However, a motor will not be ruined just because a run capacitor is faulty.
Start capacitors: - Start capacitors briefly increase motor starting torque and allow a motor to be cycled on and off rapidly.[1] Start capacitors have ratings above 70 microfarads (mfd), with three major voltage classifications: 125V, 250V, and 330V.[1] A start capacitor stays energized long enough to rapidly bring the motor to 3/4 of full speed and is then taken out of the circuit, such as by a centrifugal switch that releases when rotating at or around that speed.
Examples of motor capacitors are: a 35 mfd, at 370V, run capacitor, or an 88-108 mfd at 250V start capacitor.[1]
Given that the period of a 50hz current is going to be different than that of a 60hz current, I can think that changing the size of a cap-start motor's capacitor (which changes the time constant of the circuit) might definitely improve a motor's starting ability, without changing it's running characteristics AT ALL since the start cap is taken out of the circuit as soon as the motor is up to speed...
Likewise changing a run capacitor might also improve the situation, as again you have slightly different time constants involved.
Gooserider