I can't name any specific reports with authors and dates. I've heard stories that show that French is not really the second official language in the forces. French is sometimes used when people say “bonjour” at the beginning of a public speech or “merci” at the end. That doesn't constitute bilingual communication by the leaders.
I imagine that Francophones within the forces feel they are in a minority and are not really part of a bilingual organization. In short, I will have to do some research to locate some studies.