CD-, DVD-, Blu-ray- and anything-else players do the same thing. The most important element in that technology is error correction.
Even the Hasselblad H3 series uses software correction for at least one Zeiss wide-angle lens. Zeiss just made a lens without compromises except one or two parameters. These are completely corrected by software. The result is the best of both worlds.
In cheap cameras, of course, the manufacturers just put some heavy makeup on the results of their cheap lenses.