If electronic music represents something new unto itself, then doesn't DJ culture, being closely intertwined with electronic music, seem like an appropriate correlate?

As I am interpreting it (or making a case for) electronic music is not here meant to mirror jazz exactly, but rather constitutes a similar re-definition of standards. So it is not neccessary for DJ-ing to reproduce the composition live in a manner similar to jazz or classical, since that performance style is a function of music whose forms were determined by and originated in performance. Electronic music is largely a music whose forms originated with recording arts, and so a performance that is similarly contingent upon recordings suits the medium.