The tab and the "dots" provide complete detail, showing every note you play, so it is in no way necessary to name a different exotic chord for each note.

Most guitar players ~ beginners as well as old-timers ~ think in terms of the chords "behind" the melody and/or bass line, and conceptualize a song as a series of relatively simple chords, each held for a while (normally, at least one or more full measures), which provide the foundation upon which a melody is built. I don't believe that too many of us think in terms of a "chord change" with every quarter-note or eighth-note of the melody.

I'm casting my "vote" for naming relatively few chords, and familiar chords at that, as opposed to naming a new chord for every different note of a tune.

The full set of "exotic" chords may be of interest to those especially interested in, and conversant with, music theory. But for the general population of players who want to learn your arrangements and techniques, the finely-tuned harmonic terminology is completely irrelevant.