If you're ever lucky enough to stumble across a copy of Jeff Lowenthal's excellent 1965 book Stage and Theater Photography (still the only really good book ever written on this subject, in my opinion) one great part of it is a chapter titled "A Portrait of the Artist as a Human Being," which is a long interview with Peterson on the subject of how he feels about being photographed as a performer and how he would approach the task as a photographer.
Just as an example of the interesting quotes in this chapter, in which Peterson is talking about the importance of timing shots to avoid breaking the rapport that the performer has built up with the audience:
"I think that the photographer should be a listener at the same moment he's doing his job. He photographs a gun battle at the right moment to avoid getting shot, and I think this is the same kind of thing."
Hard to put it more simply or clearly than that!