I am not sure it fair to say *entirely falsifies how the cochlea works*. In some sense, we perform *at least* a Fourier transform, even if it isn't computed completely at the cochlea. We, and especially musicians, find it more natural to speak about sound in terms of spectra (timbre and pitch, say) than changes in pressure. While I can understand how replacing the cochlea (an embodied architectural organ) with a device that performs transforms can fail, by the time we experience pressure as sound, we have spectra.
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