Okey Dokey, I was wrong
The transformer does reflect the input to the output almost exactly. I guess I should have known that because of the way we couple audio. I am not sure why I thought it would smooth out the signal. ... sorry.
http://esteroriverheights.com/electrical/dimmer_on_transformer.jpgI guess the next question is, does that really matter if the load is a light bulb? I can't imagine it hurts the transformer in any way.
