"Going to war without France is like going deer hunting without an accordion. You just leave a lot of useless noisy baggage behind."
France has realized, too late, that they have been outmaneuvered by American diplomacy. True, UNSC 1701 doesn't invoke Chapter 7 in demanding that the ceasefire and arms-smuggling ban be enforced. However, UNSC 1559 does invoke Chapter 7 when it comes to disarming Hezbollah.
So French-led peacekeeping troops may indeed have to use force to disarm Hezbollah or face additional embarassments. They cannot stick to their usual routine of siding with whatever armed party threatens French forces most and bleating that they are doing their job. Thus do the Crusaders - universally referred to by medieval Arab authors as "Franks" - unwillingly return to duty at their old stomping grounds.