Yes, very interesting. Long ago, I developed my own method of tuning a guitar - maybe others use similar methods too, that results in a compromise that works, mostly. Much of what you wrote, explains why it works, sort of
Once the guitar is roughly in tune, I tweak each string to match the high E. I started doing this to avoid the progressive error you get if you use each string to tune the next one up - as advised in many guitar books long ago. First I tune the low E to be exactly one octave below. I tune the B string open, against the high E fretted at the 7th, then check it by fretting the B at the 5th, against the open E. Often a compromise is necessary here if intonation isn't exact. I tune the G string to the high E fretted to the 3rd. Then the D string, fretted the the 2nd, is tuned against the open high E. Lastly the open A string, against the high E fretted to the 5th.
I find the result is a better compromise for the way I play most chords. Except on occasion, and open C chord will sound sour - and this usually means tweaking the G string further - particularly if it's a thin unwound G..