They didn’t fix the royal problem, as they kept getting kings and emperors after 1789.
The final removal of the last king (Napoleon III) was courtesy of the Germans in 1870.
As for why they should listen - the French, like all Europeans, are a tribal people. They have been straining very hard to deny this but its obviously not working for them, this business of a France defined by a purely legalistic identity. Only the US has made a go of building a nation out of a philosophy, and its often been quite a stretch. Ol’ Charlie here is the hereditary, traditional chief of the French tribe, the heir to the ancient Kingdom of the Franks (or at least by some theories of the matter). He is head of his branch of the house of Bourbon, of the house of Orleans, and his lineage goes back directly to Charles Martel (albeit through various female lines when dynasties changed).
Ohhhhhhh, so this is a Catholic thing then. Ok, -now- I get it. I couldn’t think of anyone in France who seriously wanted a royalty over there. Looks like they did indeed miss a few heads.
Catholic or Protestant, no monarchy is justified after Thomas Paine published “Common Sense”. Hereditary royal business just seems embarrassingly silly from that point on. And as for Martell, (good on him for fighting the moslems) does anyone believe God picked him and his descendants to rule France forever? Nuts.
And if so, why just France? Did God pick all the leaders of numerous districts in Europe?
No, Charles’ opinion matters less than any normal French citizen’s. They speak as ones who are free and decent, not as ones who believe they are divinely destined to lord over others.
IF this Prince Charles is indeed in direct lineage to Charles Martel, then we must remember who Charles Martel was and what Martel means - he became ruler of the Franks(a Germanic tribe) and Martel means Hammer of the Muslims as in he defeated them in 732 AD at the Battle of Tours as in Tours, France! People, history is about to repeat itself! As the Archbishop of Mosul has stated, “... you will become the victims of the enemy you have welcomed in your home.”