❝Of course, lots of CDs were released with the original 44.056 kHz rate simple reclocked at 44.1 kHz. This resulted in a very slight speed increase AND a pitch shift of less than a quartertone.❞
While technically true (less than a quartertone), it's much, much, much less than a quartertone. It's 1.7cent (1.7 percent of a half-tone, or 1/30th of a quartertone). If you accidentally mix up 48kHz and 44.1, it's a much more noticable 1.5 half-tones. I doubt that this slight detuning is so blatantly obvious that it "feaks out" even a very well trained and very hot tempered classical violinist.
If you want to check the math: There are 12 semitones in an octave. One octave doubles the frequency, so the frequency difference between two adjacent semitones (e.g. from any key on your piano to the adjacent white or black key) is the twelfth root of two: ~1.0595. When tuning your guitar, your tuner might display the deviation from the true tone in cents, that's 1% of the interval between two halftones, or (python) math.pow(2,1.0/12.0e2) -> 1.0005777895065548.
Frequency ration between 44.1 and 44.056 kHz is 1.0009987.