Why would the flag need to change? The fleurs de lys long predate the House of Bourbon. Bubt anyway, it's a tough one. France has a much longer tradition of central power than Britain. The republican revolutions of the seventeenth century are all based on local or regional opposition to royal authority, which in France wasn't around to the same extent (you had this Fronde thing, but it didnm't really take off). There was also the fact that the French (not the peripheral nationalities, which were more like colonies) strongly identified with their monarchy, much more so that either the English or the Scots could with the Stewart (or the Dutch or Catalan with the Spanish Habsburg, for that matter).
A French revolt, unless it somehow was to capture the centre of power (how?), would need to come from the provinces, and the only places I could see would be the trading towns of the north. The south is too culturally different, and Huguenot, and the periphery is not even French-speaking. But why would the mercantile and industrial elite of France oppose the king who made them rich and powerful in favour of a fickle democratic regime in which their enemies have a majority? Keep in mind, the English Republic came about largely in opposition to the arrogated power of the Lords in the Commonwealth. In France, you didn't have to be born a nobleman, you could buy nobility. The richest always had a strong stake in the status quo.