That's some remarkable preparation you before posing your questions!
So to respond in kind, I'll give you a more thorough answer. Here's a simulation of what's going on for the "drop" method vs. the "clamp" method. Since the lamp is a resistive load, what we're after is the RMS voltage at the terminals of the bulb.
The blue line is the 18V AC from your transformer. This is 18V RMS so it peaks at 25V in both polarities.
Inserting a pair of 6.2V Zeners inserts a 6.9V drop and yields the orange line. If the input voltage at any time drops below 6.9V in either polarity, the output is 0 since dropping the voltage cannot change its polarity. So you get the flat-region around the zero-crossings. As it turns out, the RMS output is 12V. Yes, I stuffed-the-ballot-box to make it come out this way!
Inserting a pair of 13V Zeners inserts a 13.7V clamp and yields the yellow line. If the output voltage at any time attempts to exceed 13.7V in either polarity, the output is clamped to 13.7V. So you get the flat-region around the peaks of the incoming voltage. As it turns out, the RMS output is also 12V - again I stuffed-the-ballot box to force the outcome.
So in the case of the drop method, simply subtracting the 6.9V drop from the 18V input under-estimates (11.1V) the actual RMS output voltage of 12V. And in the clamp method, simply using the 13V clamp over-estimates the actual RMS output voltage.
Note that I chose 6.2V and 13V Zeners since these are common values. Nearby values would be 5.6V or 6.8V, and 12V or 14V respectively. In each case the effective drop or clamp voltage for back-to-back Zeners in series is the sum of the Zener voltage and 0.7V.
Cutting to the chase. I suggest the drop method for one simple reason. With the clamp method if the bulb fails and stops drawing current, the diode clamp will have to absorb all of the power that previously went to the bulb. So if, for example, the bulb draws 1/4 Amp, that same 1/4 Amp would now flow into the clamp...in round numbers 14V x 1/4 Amp = 3.5 Watts.
I have no beef with GRJ's suggestion to 2x the power ratings of components. But I'll suggest that if you lower the voltage applied to the bulb, the 0.25 Amp you saw at 14V will also drop.