It should also be noted that the supremacy of the Pope over the French Church was very controversial in France - the Gallicanist movement was still raging. This is why the revolutionaries demanded that the clergy swear an oath repudiating the Pope and giving their complete allegiance to the state - and why they targeted and martyred the anti-Gallican clergy first. There was no freedom of religion for orthodox Catholics either in revolutionary France or royal England.
Thanks so much, wideawake, for giving us this wider perspective on the situation in France!