Personal example: As a musician, A=432 doesn't sound that different to me, not enough to make that much of a difference in tone. However I do like A=425, an arbitrary "in between" tuning on the flat side of the middle between A and Ab in A=440 tuning. It adds an entire new mood set for each key that is rather different than A=440, distinct enough to me where the moods don't overlap (whereas with A=432 it does).
There is no science that can explain this sort of thing that I know of, and I fully expect that others would have different interpretations.