It is and it isn't. France seems to to like being neither fish nor fowl. They've always been a little quirky. I think you're looking at the fish and I'm looking at the fowl (or the other way around). During WWII de Gaulle nearly drove Eisenhower nuts with his French quirkiness.
To the best of my recollection, de Gaulle never did want to subject the French Military to any level of foreign control.
OK