Hearing doesn't listen to pressure waves. It does some very complex real time source separation to distinguish between different sound sources.
Then it performs overtone and resonance matching to identify different speakers.
Then it follows up with phoneme recognition to identify words - which somehow identifies phoneme invariants across a wide range of voice types, including kids, male/female, local/foreign and social register(class)/accent.
Then it recognises emotional cues from intonation, which again are invariant across a huge range of sources.
And then finally its labels all of that as linguistic metadata, converts the phonemes into words, and parses the word combinations.
It's not until you try to listen to a foreign language that you hear the almost unprocessed audio for what it is. And even that still has elements of accent and intonation recognition.