Francisco, most certainly. After the Revolution(s), the old Gallican doctrine has been completely forgotten by the Monarchy. France would revert to "the alliance of Throne and Altar" doctrine.
However, if France experienced some kind of Catholic Revival during the 1860's (thanks to Lourdes and Paray-le-Monial pilgrimages), one shouldn't forget that France was already more secular than other Catholic countries. Being associated with a reactionary regime would bolster laïcité and anticlericalism among the Republicans and, probably, the Moderates. I also guess the "Modernist" crisis within the Catholic Church would take place earlier. Should the Monarchy fall once again, I'm pretty sure that the secular backlash would be even more violent than in OTL ; it would be similar to Mexico after the 1910 Revolution, IMHO.
However, if France experienced some kind of Catholic Revival during the 1860's (thanks to Lourdes and Paray-le-Monial pilgrimages), one shouldn't forget that France was already more secular than other Catholic countries. Being associated with a reactionary regime would bolster laïcité and anticlericalism among the Republicans and, probably, the Moderates. I also guess the "Modernist" crisis within the Catholic Church would take place earlier. Should the Monarchy fall once again, I'm pretty sure that the secular backlash would be even more violent than in OTL ; it would be similar to Mexico after the 1910 Revolution, IMHO.