Earlier quoted context omitted.
That's true, but on the other hand the principle of operation for these specialized circuits was actually a traditional (though of course simplified) bunch of oscillators or noise generators, with simple filters, all controlled by simple envelopes. There may have been a ring modulator (for the bell?) somewhere too :)
I was mainly thinking of the bass, which is simply a big fat sine wave with a lowpass, and then a short clicking noise at the start, which is basically just a sine as well. You can replicate it well enough with just those two elements anyway. The snare is just some white noise and a highpassed sinewave. The bell definitely sounds like it has ring modulation. I seem to remember the cowbell being the hardest one to rip…
Filtering a sine wave makes little sense, as you'll only end up altering the volume (unless you take the phase respone of the filter into account but this should be barely audible).