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In a true transformer, i.e. 2 sets of windings sharing a common core (whether air, ferrite, iron or whatever) draw less current in the primary if no load is presented to the secondary. They will however draw some current since they are completing a circuit and have a certain AC resistance, called impedence. I don't believe what was said is right about no load. Can you provide a reference, or formula? One benefit of leaving the transformer on, is the small amount of heat generated helps keep moisture from condensing on the unit when left outside. But, I'd say the benefit is negated since heat eventually ages transformer windings, and as soon as it cools, it will draw air inside, much like a muffler in a car.... we have all seen water coming out of a tailpipe just after starting. Regards, Greg p.s. many power supplies are more complex than a transformer, full wave bridge and a rheostat nowadays.
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