It is really fascinating to compare the counterpoint of J.S. Bach and the compositions and improvisations of Charlie Parker as regards what happens on the downbeats of harmonic changes. The results, when viewed from a zoomed out big picture perspective (neo-Schenkerian?

) are so close as to be nearly indistinguishable.
I first became aware of Schenkerian analysis from a jazz perspective through John Mehegan's jazz improvisation series of books, whereby he analyzed fundamental jazz harmony and rhythm of many jazz standards. This eventually led to theory exploration in university classes, although in classical music analysis. This book:
https://www.amazon.com/exec/obidos/ASIN/0415973988/schenkerguide-21/ and companion website:
http://schenkerguide.com offered first glimpses to more detailed components of Schenkerian analysis.
A more recent and fascinating book is Steve Larson's
Analyzing Jazz: A Schenkerian Approach. https://www.amazon.com/Analyzing-Jazz-Schenkerian-Approach-Harmonologia/dp/1576471861/ref=sr_1_1?ie=UTF8&qid=1513543987&sr=8-1&keywords=steve+larson+jazz
In regards to finding great similarity in aspects of Bach counterpoint and Bird compositions and improvisations, viewed from "Google Earth" perspective: It clearly exemplifies Bird's
aural assimilation of the work of a classical master. Bird was a master chef, amalgamating works of others as his own, from his time period and before. Several scholars have also documented characteristics of Mozart in Bird's work, and Bird routinely borrowed harmonic structures of same-era popular songs as the basis for his "original" compositions. He found a masterful way to bring diverse and revolutionary work to life, reflective of it's time, much in the same way some practitioners of NNS might hope, in a "Google Earth" way.
It is improbable that Bird used theoretical tools available to today's musicians. He didn't use NNS

, instead using his heart, soul, and mind to incorporate elements of music that he loved.
There are diverse and ample tools available, aiding our music education and performance endeavors. NNS is certainly one of them, with solid connection to more comprehensive analytical tools. NNS is a great "shorthand" notation tool. It is accessible and helpful to many. I use it all the time. It is easy to teach to others, and embraced by many musicians with diverse music training and background.