It would recognize anything on that string up to a D6 or D#6 (22nd or23d fret on standard high E string). So yes, it would recognize notes from that string, but not ALL of its pitches.
It would be cool to have the full octave, assuming a guitar setup like that is possible. Anything lower than E4 wouldn’t be recognized as well?
E2 is the low E string, and there is work being done on the improvement for the tracking of some extended range guitars below that for MG3. I dare not say anything about factual ranges yet though, since I really don’t know.