If I follow your question's concern, I think you are expecting the chords symbols to be...
...because of the
C in middle staff, first beat.
But the chord symbols are there to show what a guitarist should play rather than some kind non chord tone label or analysis.
The chord in this section is
G6 and their is a non-chord tone
C resolving to a
Another way to think about this situation is a very old idea from figured bass harmony. A chord in second in version like
C/G is a harmonic idea, basically dealing with chord roots. But figured bass looked at it as a double appoggiatura over a
G bass, it look at it as a contrapuntal thing, it would be called a "chord of the sixth", but the
G bass was the fundamental thing rather than a theoretical root of
From the figured bass, contrapuntal perspective the
C is an embellishment to resolve, not really a proper chord tone.
If you go with the modern, harmonic, chord root perspective you should be identifying
6/4 chords in the four categories: cadential, passing, pedal, or arpeggiated. The example doesn't include before/after one chord so we can't really explore it this way.
This seem like a lot of theory to throw around. I think the simple idea is don't casually identify
6/4 chords. First suspect them as non-chord tone, contrapuntal elements, unless you can fit them clearly into one of the four harmonic categories.