Your description is inaccurate: there is no electric snare here ---In the video it is a piezoelectric element sandiwched in the blue foam, and the signal is fed to a module with a snare sample. He could be playing a tuba sample if he wanted to.
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A piezo electric element is a pressure sensititve pickup, so technically it is a 'pickup'. There is perhaps only the snare wire in a typical snare drum that could trigger a signal in a conventional magnetic coil pickup, i.e. the sort that an electric guitar uses, and it may not be enough to generate much of a signal to make it worthwhile.
There are two ways to go about this: one is to use a piezoelectric element, give it a preamplified gain of about +20 - 30 dB, and send it to wherever you want it to go. The response may be more sympathetic than reporductive. If you want a reproductive route then do this:
use a separate mic to your kit's snare mic (for PA). feed that to a mic preamp and feed it to wherever you want it to go.
In 1972-3, Carmine Appice played a Wah Wah snare, with Beck Bogert and Appice. It was essentially, a sep. mic into a mic preamp, into a wah wah.
You can use any effect that works with your imagination.
