They do seem to be instrumentally irrational traits, and basically maladaptive for most social contexts.
They’re things people claim to value, but then don’t actually act like they do, or select for them much when given the chance.
It’s possibly many people don’t know how to recognise things like honesty and integrity. As for logic (or broadly rationality), that likely requires being capable of it in order to recognise and value it in others—most people just aren’t good at logical thinking at all.
They seem to confer little to no advantage in many spheres of life.
They seem to be a negative for career advancement.
Politicians almost never display those traits, and when a rare one does, most seem to either not recognise it, or react with hostile rejection.
They’re either neutral or negative in romance.
I don’t know whether they’re on the verge of extinction or diminishing over time, but it does feel like there’s not really that much of it around, particularly where we’d most need it to be, and people’s proclamations about the value of honesty and integrity could well be just an expression of social desirability bias.