It doesn't.

CRC is a hydrocarbon based cleaning solution similar to isopropyl alcohol. Vinegar works to clean the alkaline corrosion specifically because it is acidic, so it will both neutralize the alkalinity and also act as a mild etchant.

It is important that you thoroughly clean all of the vinegar, since leaving it on for too long will etch away the copper (though when I say "for too long", I mean a very long time).