the main difference is that it draws half the amps, and that 220 can flat out kill you if you don't know wtf you are doing, where 110 will just give you a good jolt.
normal 1000w lamps will pull around 9.6 amps on 110, while a 1000w lamp on a 220v circuit will only pull about 4.5 amps, this is really only important if you are running multiple 1000w lamps, as a normal household outlets are either 15 or 20 amps of 110. So they can only run 1-2 lights at most, and that is nearing max capacity, leaving very little amps for fans, pumps, heating, cooling, rez aeration, and all the other shit you need to run a good setup.
I do not believe that the higher voltages put out more lumens, otherwise you would see a lot of threads that you should only use 220