Dutch asked: Just for the sake of the discussion. Who exactly would be the king's heir should be push for his replacement?
His Majesty Clotaire VIII and the queen, Clotilde-Adélaide Augusta, have four children. The Grand Dauphin is Clotaire-Roland de Parvain, heir apparent to the throne. He is not favored by the Constitutionalist cause due to being unpopular with the Loutharcian mob for his perceived arrogance, holding staunchly conservative views, and being married to a foreign princess (Eliška Agnieszka of Vechia).
The King's second son, Clovis-Thibauld Henri de Parvain, Prince de Parvain (whose name was carried by the HM's 2nd Elven Hussars at Mauvais!), is generally thought to be more suitable. The Prince de Parvain is known as an intellectual who patronized the Constitutionalist leader, the Duc de Haute-Plaisset, when he served as a liberal minister in the royal cabinet in the 1720s. He has avoided entanglement with the Constitutionalists and kept well out of the political sphere, however, for better or worse. He remains close with his father, though, which is increasingly seen as a problem.
The King's third son, Augustin-Grimoald Hugues de Parvain, Prince de Orferre, is somewhat of an unknown quantity. They are fairly young (only 29, compared to his brothers' 65 and 40), known to have poor relations with his father and mother, and rarely seen at court. He notably has never visited his father in his "exile" in La Durance. He served with some distinction in the War of the Grand Alliance, so military types tend to have a better image of him. For most people, he is a non-entity. For some Constitutionalists, this is a benefit, but most consider him unsuited for the throne at a time when the monarchy needs powerful symbols to survive.
The couple also have a daughter, the young princess Ansgarde Bathild de Parvain. The Constitutionalists have never considered her for the throne, mainly because of her youth (she's 10), but also because they have an official policy of favoring male heirs for reasons of continuity, stability, and keeping the conservative nobility from all packing up and joining the royalist cause.
There are then various nephews, cousins and more distant scions of the family line. The Constitutionalists don't consider them as viable candidates for the throne, as succession in Arné has almost always passed from father to son directly.