The trouble is domain expertise
in what domain. The "Brains aren't computers" rants are predominantly from Psychologists who I agree have domain expertise
when it comes to the brain but know very little about computers.
An example would be the problem of understanding. The Psychologists are confident we can't expect to fully understand our own minds. But, they are also confident we can expect to understand any possible Computer Program. And they're just wrong about that, that's the implication of Kurt Gödel's work, we definitely can't expect to understand arbitrary Computer Programs, we have instead chosen to mostly try to write programs from a narrow set we can understand, although not altogether successfully. Thus, the Psychologist thinks they've found an obvious difference, but I think they found an obvious similarity!