So C12 is the compensation cap between pins 1 and 8 on lm301/308, OP07, etc.
What happens if you have C12 populated with an opamp like the LM741 or TL071 that doesn't need a compensation cap? At least with the LM471 and TL071, pin8 is "NC", the datasheet says "do not connect". I know you're
supposed to leave that pin open, but if it's
internally not-connected, it shouldn't matter, right? Pin1 (again for the LM741 and TL071) is offset null voltage.
The TL071 has a much higher slew rate (13U/usec for the TL071CP), dramatically higher than e.g. LM308. My understanding (quite possibly incorrect!) is that, at least with the Rat, part of the tonal character comes from that super-slow slew rate. The Cattle Driver clipping arrangement is different than a Rat though (soft clipping in feedback loop vs hard clipping to ground).
FWIW, I actually have
two Cattle Drivers. They both have LM308N in them (if I'm not mistaken, that's what the Buffalo TD-X has). In one of my builds, I swapped out the LM308N for a TL071CP. Side by side, there was definitely a difference. To me, with the TL071, the max "overdriven-ness" ceiling seemed a little lower, and and it also seemed a little "crispier" with a little more emphasis in the highs. I was afraid to leave it in there, though, per my question above, I'm not sure if it's a problem to have the 47pF across pins 1 and 8 on the TL071.