volts/amps question

this maybe a kinda thread jack, but its not too far off.
If the motor and gearing stays the same but the volts go up say from 4s to 6s Will the amp draw go up as well. Or will it stay the same because the gearing didnt change. I understand and correct be if im wrong but, if you gear down, the amp draw will drop as well correct? Or if you use a lower kv motor it will drop as well, but if the motor stays the same and just the voltage goes up. I know it will go faster(watts will go up) but will the amp draw go up as well, Or will the amp draw drop?