I am by
NO means an expert, but maybe you could try to run cdparanoia from a shell? I'm saying this because grip is a graphical user interface that hides the actual mechanics, and you're in a spot where you would want to look at the actual pipes and valves, right?
According to
this cdparanoia FAQ there is clear feedback in case of errors - so try to get it running in a shell and see if you get any warnings that Grip hides/ignores.
Please note that playing a cd in an audio player is completely different than running it in a computer's cd drive -- commercial cd players can play rather deep scratches with minimal sound errors, cd ripping is a much more accurate process.