This may sound weird to you, but, I had a recurring no-start problem with my 1.8T A4 ( I know, different engine). It would sometimes take a little while to start, and, eventually, it wouldn't start at all. It turned out to be the Coolant temperature sensor that was defective. I am very knowledgable when it comes to electrical diagnosis, and I never thought that a little sensor like that would prevent the car from starting. Since I replaced the sensor, I have never again had any problems starting the car.
As for the ignition amplifier, I have a link to a write-up on AW, although this was for a 1.8T as well.
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Ignition amplifier module test
If you are not getting any spark, also check if you can hear the fuel pump running when you crank the engine. If you can hear it, I don't think that the ignition switch is your problem.
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