Carbon comps and ceramic caps were on the first Big Muffs, and it's only natural for me to use them also in my copies/derivations/tweaks of the same. The same reasons CC's sound good in FuzzFaces also apply to BMPs. I mean, think about it; you've got 4 silicon gain stages and 2 silicon clipping stages, all happening within the transistors' ability to keep up. So there's no squishing of the wave form from overdriven amps here; just lots and lots of nasty, trebly fuzz with loads of spikey harmonics. Even after all the filtering of the 1st 3 stages and the fairly lossy tone control, if it weren't for those carbon comps lending their own smooth character to the sound, you'd still end up with the sound of broken glass and fingernails on the chalkboard. And then you'd have to adjust your amp to compensate. But then your bypassed tone would then be too dark. Using the guitar's tone knob does not solve the problem. Adding more filtering to the effect reduces the guitar attack and articulation.
Yes, mojo resistors. Because they serve their purpose. Not to sell products, but because they do the job of making the effect sound like I want it to sound. Oh yeah; I guess that does help to sell effects. Sorry. Can't help that, I guess.
Since there's no significant current load and hence no heat, there's little to worry about as far as drifting. As for noise, my experience shows that the transistors themselves are about 100 times more significant a factor; and not only that, but the smoother tone of the cc's in the end serves as a noise reduction, not an additive. Of course your mileage may vary, and this whole topic mainly applies to fuzz circuits anyway, doesn't it?
But still, for basically any guitar effect, I can't see a very large number of places where I'd prefer a 100% clean, full-bandwidth signal anyway. This includes things like delays and choruses and phasers and even eq's. Just my personal take. Not that everyone will agree with me. But I find that when I hear a sample of something that was created with the intention of providing the cleanest possible signal, it does not sound musical to my ear; it sounds harsh and unnatural and contrived and forced.