[UPDATE]
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I bought (and received) the Yamaha pedal. I does work with the Alesis module !
Issues though: the travel is long and it is rather loud when stomped. If you tap it down lightly it doesn't really register with the module, you have to give it a good pop, and then the mechanical noise of it becomes apparent. If you're playing loudly it won't be noticed, but it will in quieter scenarios. I'm iffy on it...
The Acoustic noise and travel issue was expected..as mentioned in another post above.
Acoustic Noise applies to Hollow plastic which is typically noisy and the distance traveled determines the strike velocity and dynamics..some pedals or Stomp Boxes may even have a resistor in them on the jack to prevent it being too sensitive and picking up cross talk or extremely sensitive to triggering ..adjust the Threshold and sensitivity.
Otherwise the only other option is modifying the pedal.
Piezo's and switches..are for the most part..used by majority if not all E-Drum Manufacturers.
They will work....but will they work well has always been the issue for compatibility between Brands...different wiring..Voltage requirements..Algorithm etc etc.You are not going to find a perfect out-of-the-box solution.