What is the ballast type?
If itis a series choke (I would guess for 220..240V), the capacitor play no role at all for the lamp, it is there only to fix the power factor in the input (so the installation could use thiner wires and/or lower rated switches; usually not of any concern with only single fixture).
Be aware, than HPS vs MV of the same nominal wattage have quite a different operating voltage/currents.
The current is dictated by the ballast, while the voltage by the lamp. Now if the ballast is designed for higher arc voltage lamp, it mean the lamp current it feed is lower for the same rated power, so the lower arc voltage lamp will run there underpowered.
Now what does not fit as much is, than HPS for markets with 230V mains aredesigned with ~70..90V arc voltage (depend on rated power, higher power mean usually higher voltage), while the MV's (all) for 95..130V (again, higher rating mean higher voltage in that range) arc voltage, so I would rather guess the MV would be overdriven on a HPS ballast of the same wattage rating...