I don't think my problem is from the read surface being scratched, although that can affect the reading. But I have had CDs with the label scratched and since the music is immediately below the thin label layer, it really hurts when that side is scratched, no amount of baking soda or what will help.
I once bought a disk repair product and it made the disk look worse than it was to begin with, guess it was only meant for deep scratches.
Nice to know the computer does some error correction, that explains my experience. Am enjoying one of the CDs that had a scratched label. About 9 of 14 tracks were messed up, smoe would not even play. Home computer still had two that would not play, but office computer seems to have fixed everything, perhaps because we just got new computers a couple months ago so they are the latest and greatest.