It’s not like when France overthrew its monarchy they stopped being France or seeing themselves as French.
They didn't even stop being a monarch (for very long). I think they're on something like their Fifth Republic at this point, because they keep going back and doing Bourbon Restorations, cause some of them cannot stop being monarchists no matter how hard they try.
Monarchists are like the fucking hydra. Chop off a thousand heads and you somehow get two thousand more monarchists in their place. It's bananas.