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Maybe. But not in the way you are probably thinking. Executing Louis XVI didn't get rid of their royalty. They came back again after the revolution/Napoleon. And Napoleon's nephew Charles Louis reigned as Emperor Napoleon III from 1852-1870. They haven't had any (recognized) monarchs since 1870, but even to this day there are descendants of both the Bourbon kings and the Napoleons who (semi-seriously) claim to be the rightful monarch of France and given themselves numbers.

The French still have monarchs. Four (ish).

1. The President of France is also, ex-officio, Co-Prince of Andorra, so their president is a monarch, though he's not a monarch of France.

2. The Wallis and Futuna Islands, which are an overseas collectivity of France, is still divided into three kingdoms with recognised kings.

There is also a viceroy of Pheasant Island, governing a 0.007 km² island for 6 months each year in the name of a monarch that does not exist.

That's an excellent addition.

Not before exporting the idea over the whole continent.