If we restrict our observations to minds that are capable of functioning in a moderately complex environment, UCAs come back, at least in math and maybe elsewhere. Defining "functioning" isn't trivial, but it isn't impossible either. If the mind has something like desires, then a functioning mind is one which tends to get its desires more often than if it didn't desire them.

But it may be in the mind's best interests to refuse to be persuaded by some specific class of argument: "It is difficult to get a man to understand something when his job depends on not understanding it" (Upton Sinclair). For any supposed UCA, one can construct a situation in which a mind can rationally choose to ignore it and therefore achieve its objectives better, or at least not be majorly harmed by it. You don't even need to construct particularly far-fetched scenarios: we already see plenty of humans who benefit from ignoring scientific arguments in favor of religious ones, ignoring unpopular but true claims in order to promote claims that make them more popular, etc.