Yes, France have multiple different doctrines. It's most known one is the "Force de Frappe" [0], but the Legion have one, and if you talk about "doctrine d'emploi" every bit of equipment have one (the AMX-10 necessitate a doctrine d'emploi so different than regular MBT than the whole French cavalry have a different general doctrine than any other mechanized troups)

[0] https://en.wikipedia.org/wiki/Force_de_dissuasion