Sorry, Syncopator, but what will happen is the power will be halved as alternate half cycles of the sine wave will be missing. So it would give 15 W, a bit low, but it certainly will not dissipate any power so its very efficient. A sneaky way to increase the power would be to put a resistor in parallel with the diode to provide the extra 3W during the non conducting part of the cycle. So the extra 3W would be equivalent to 6W for a complete sinewave. so 6W into 403 ohms is a current of (6/403)-1/2 = .122A, so volt drop across heater V = 403 X .122 = 49.1 V, so voltdrop across extra resistor = 60.9V @ .122 A = 500 ohms. So with a 269 ohm resistor it would dissipate about 20W thats a BIG resistor. With the diode +resistor , the resistor would dissipate 3.5 W and you should get your 18W.
Frank