"we can only consume a few dozens of bytes per second, and so any error is obvious."
That's not the point at all. The English language itself is already heavily compressed, by which I mean the space of all possible words is already densely packed. This is why we can both understand misspelled words with no particularly close neighbors, but are nonetheless sensitive to misspellings in general.
The act of writing something down in language compresses it, significantly changing properties of the space such as comparability of neighbors
That's not the point at all. The English language itself is already heavily compressed, by which I mean the space of all possible words is already densely packed. This is why we can both understand misspelled words with no particularly close neighbors, but are nonetheless sensitive to misspellings in general.
The act of writing something down in language compresses it, significantly changing properties of the space such as comparability of neighbors