Except he's asking about UK single phase supplies to domestic premises - so only two incoming wires, neutral and live - if either is disconnected you get no power at all.
Industrial three phase is somewhat different, and can be connected as either star or delta - where delta has no neutral at all. But any three phase system should have little current through the neutral anyway, as it's supposed to balanced across all three phases as much as possible, hence thick live wires and only a thin neutral.