From an evolutionary perspective, all genes should favor the highest possible fidelity copies.
Hmm… Suppose there are two separated populations, identical except that one has a gene that makes the mutation rate negligibly low. Naturally the mutating population will acquire greater variation over time. If the environment shifts, the homogeneous population may be wiped out but part of the diverse population may survive. So in this case, lower-fidelity copying is more fit in the long run. This is highly contrived, of course.
From an evolutionary perspective, all genes should favor the highest possible fidelity copies.
Hmm… Suppose there are two separated populations, identical except that one has a gene that makes the mutation rate negligibly low. Naturally the mutating population will acquire greater variation over time. If the environment shifts, the homogeneous population may be wiped out but part of the diverse population may survive. So in this case, lower-fidelity copying is more fit in the long run. This is highly contrived, of course.