The bit that you read pertains to AC power. You don't need to worry about it with the 1012, especially when it is just a low voltage level like that. Though you certainly can switch the location and it will function the same if you prefer.
As for your plan to use an Arduino to control this board. That won't work. The 1012 REQUIRES an active USB connection in order to function. No Arduino that I know of has a USB host controller on board. If you really need this to be independent of a desktop computer then your best bet is to use a 1072.