I’m afraid this is simply not a biologically meaningful statement to begin with. Mitochondria are subcellular organelles. Fingers are complex organs that are formed from spatial arrangements of multiple cell types. Furthermore, mutations happen on the level of DNA, not on the level of either organelles or organs.
Apart from that, mutation rate is (not quite, but more or less) uniform across the whole genome (the exceptions, due to e.g. GC bias, are not relevant here). Viable mutations are not uniformly distributed because of selection; that’s precisely the striking insight that Darwin had (though he was unaware of DNA and genes). Importantly, this does not require a guided error correction mechanism. Simply put, even slight variations in the oxidative phosphorylation pathway of the mitochondrion are likely to kill you during gestation; whereas similarly extreme variations in finger morphogenesis, at worst, make you unable to hold a tool.
> some subsystems are more stringently error corrected than others
This is virtually certainly not the case, because of what I’ve just described. Selection is sufficient to describe the outcome, and there is no evidence whatsoever to point to the mechanism you postulate.
> I would be incredibly surprised if a crocodile, who has been in a state of relative homeostasis for millions of years, has the same rate of mutation as a human.
Evolutionary mutation rate is governed by effective population size and generation time. That’s why fruit flies evolve fast and crocodiles evolve slowly. This, too, doesn’t require variable mutability of different traits, and no biologist has yet seriously suggested such a mechanism.