I don’t feel that strongly about it but I think “musician” is someone who makes and understands music, without necessarily implying performance as a primary activity.
The difference between someone who plays instruments and a performer was really driven home by my time with a taiko drumming group. Aside from some specialist roles, choreography and stage presence were held to be more important than rhythm and dynamics – though I could grasp the logic of that, I’d rather play well than look good playing mediocre.
I usually just go with “electronic musician.” My spouse says I am “a composer of electronic music” and that’s fine, since I accept improvisation and recording as well as sound design as compositional processes, in this medium. (I do think “electronic music,” regardless of its extreme vagueness as a genre, is often something of a different medium from “music” generally.)
Really, whatever term we use it’s going to be like the “what society thinks I do” meme. People are going to picture keyboards, or Deadmau5, or lab coats, or someone with wild hair scribbling on staff paper in a dim room, or whatever.