I like Bilgemunky's description of there really being three types, in both musical and garbical reenactors. I view this as something like partial credit on a test. Not meaning to imply that any one fails of course.
The Capt. brings up some interesting points what with "open to interpretation" sheet music or none altogether. I suspect that music really is a much more personal thing and was much more flexible than clothing even. After all this same vagueness is inherent in Baroque music of the times as well. No chamber group , though playing on period correct instruments, would play a piece the same as another. Each player brings his or her own history and current desires to the piece each time they play it. Music isn't like clothes, which are made once instead it is made anew each time it is played. And yet an educated listener would still know a Baroque piece when its played.
I suppose what I'm saying is don't feel that adding your own spin suddenly makes something incorrect.