That's a fair point. I tune my basses and guitar to A4 = 432 Hz, which is around 40 cents flatter than the "standard" A4 = 440 Hz. That's just the way my brain likes it. Giuseppe Verdi also tuned to this pitch in the 19th Century.Pitch is cultural, though. A=440 is relatively recent, and in the 19th century A encompassed what today is Bb and also G#. So whilst the propensity for it may have an inherent component, the actual expression of it must to some extent be acquired.
Personally, I find some old recordings (and this isn't just ones from 1935 or something, but ones from the 1960s and 70s when tape speeds might be altered before mastering) unlistenable on some days but not others. I'm cross-dominant in terms of handedness and also stammer, and the extent of hand dominance or ability to speak fluently varies day-by-day for me, and they seem to be correlated. Perhaps my tolerance for things not recorded as A=440 varies with that too. Anecdotally, I'm more tolerant on a more right-handed day.
P.S. having hand dominance shift (even if it's only partial) is a pain in the behind some days.
TIL that the "standard" 440 Hz became the standard in America and Britain in 1926. Before then, classical composers tuned however they wanted to.