I'd say it touches the hearts and minds of quite a few, considering French titles dominate the French box office.
France has a restrictive system of screen time quotas. If the French were so in love with French titles forcing theaters, TV and other venues to show French titles wouldn't be necessary. The day France removes its quota system and French titles continue dominating box office is the day I'll believe in their strength.
As for your considerations on my knowledge or lack thereof of French cultural products, you assume too much. Or, rather, too little.