EDIT: Also you have to be missing at least one note... CMaj7 had 4 notes + 13 ... c e g b + a (the 13th) so CMaj7/13 Add 4 ?
The OP (as I understand it) was wanting to be able to know what shape/grip to use for picking the relevant notes... I'm sure it can be done but you have to also find the position and reasonable shapes that fit the notes in the bar.
Then look at the Pro tab. The fingerpicking patterns are shown, and which string/fret should be picked, but there’s no chord name listed when it would be helpful for somebody like me to see just a simple chord name above the measure as a cue for my fretboard hand without having to look at the individual plucked strings/frets spread over the measure to determine the chord. I hope that makes sense.
Sometime it might be a challenge to fit it, but there are many instances where it would be a helpful assist for reading the tab.
In your example the tab is strictly finger-picking over chords since that's how the song goes but some tabs are lead guitar tabs which might be sliding from the 15th fret to the 3rd fret or other things that are not strictly picked from a chord shape. They might still be "from a chord" or "played over a chord" but when you play the tab you may or may not be using that shape at that position. It's still good to know what's the context so definitely having the chord is useful.
If I'm playing a song with a clear picking pattern over chords I might just learn the chords and strum them first and then learn the pattern or often the patterns are just standard and all you need is the chord chart.
I've definitely seen tabs with the chords on top, in Ultimate Guitar it depends on whoever transcribed it, random e.g.: https://tabs.ultimate-guitar.com/tab/misc-traditional/greens...