Bob Gainey is from "The Electric City" Peterborough, ON
Frank Selke was from Kitchener
Tommy Gorman was from Ottawa
Léo Dandurand lived in Illinois until he was 16
George Kennedy was an Anglo-Quebecer
Being a French-Canadian isn't a prerequisite to being GM of the Habs.
While GMs may not talk to the media all that much (compared to the coach or players). Let's do a thought experiment. JBB is French only. Does the same job, but only in French. Would we feel that our concerns were being heard, or would we assume that he was out of touch? Would we convince ourselves that Coop was doing more GM-type work than he really was? I think there's a good chance.