In KSP vessels don't seem to consume or gain any power when they aren't loaded. So, for instance, a ship with no power generation can fly indefinitely without losing electric charge, as long as you're observing it from the tracking station or another distant ship.
Does this also apply to mining operations? More specifically, will my mining base mine at full efficiency (even if the base consumes more power than it gains), if the base isn't within loading distance?