Not a surprise. No occupied nation in WW2 was more cooperative with the Nazis in turning over Jews than the French. Even the Italian Fascists weren’t as bad.
France was bad. The Dutch and Estonians were just as bad. The Italians were never so much into the whole “kill the Jews” thing.
You seem to be focusing on turning Jews over to the Germans, not the general anti semitic laws in Italy. You're correct that the French rounded up Jews themselves saving the occupying Nazis the trouble. If by the fascists you meen the Mussolini government, they refused to turn Jews over to the Nazis. Italian Jews weren't sent to the camps until the Mussolini government fell and Germany took the country over, what wasn't already held by the Nazis.