It is indeed just the rated voltage.
The voltage of the supply greatly affects the performance and lifetime of lamps, therefore there are variants designed to be run at different supply voltages to enable sites to purchase lamps that match their usual site supply voltage.
Remember that the 'Nominal Volts' of your supply may not match the real voltage you see - my nominal voltage is 230VAC, but I have seen it rise to 250VAC!
For example:
I would add that some sites that use ETC Sensor Dimming will set the output regulation to 115V or so and then use 120V lamps. (A little less bright but longer lamp life)
To answer your question directly: In a perfect world, 2 lamps with only a difference in voltage rating will give the same performance when given their respective voltage.
~Mike
www.etcconnect.com