Tbh I used to think that it does. For example, when playing higher notes, it's harder to hear the out-of-tune frequencies than on the lower notes.
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Are you perhaps experiencing some high frequency hearing loss?
In the middle range (say, A2 through A6) neither of these issues apply, so it is - by far - the easiest to tune.
That's a side note, the rest of what you wrote was very informative!