The OP's question, and the varied responses, is one of the reasons I drifted away from a need to name every scale-like figure I was playing or hearing. I tend to think of things as 1,2,3,4,5,6,7 (sometimes 9,11,13) and they are either natural, b or #.
Me too and for the same reason. Except I think in numbered semitones and ignore sharps and flats as well. Ages ago I got impatient with the whole attempt to try to wedge our 12-tone chromatic scale into a diatonic framework. Using numbers just makes a whole lot more sense. Especially when you consider that Western music, nomenclature, and notation isn’t the only system in the world of music.