I'm imagining an analogous argument about exercise.

It's a weak analogy as humans are biologically hardwired to eat but are not hardwired to exercise.

Some people like tasty food; others don't care about it. Some people like sex; others simply lack any desire for it; still others experience the urge but find it annoying.

True, but two comments. First, let's also look at the prevalence. I'm willing to make a wild approximation that the number of people who truly don't care (and never will care) about food is about the same as the number of true asexuals and that's what, 1-2%?

Second, I suspect that many people don't care about food because of a variety of childhood conditioning and other psychological issues. In such cases you can treat it as a fixable pathology. And, of course, one's attitude towards food changes throughout life (teenagers are notoriously either picky or indifferent, adults tend to develop more discriminating tastes).