Truth be told, I'm not entirely sure why Corse have law enforcement lines to begin with. I'm certainly not a big Gallia expert, and I'm pretty sure many of the infocards are also outdated.
But nothing I can find about the faction mentions them acting as law enforcement. They are purely a criminal syndicate, who sometimes hunt down targets for the State, so they are somewhat tolerated - accordingly, they have the same "contract" line as the Freelancer ID. I'd sort of understand if they could enforce their own laws in Provence, which is effectively sovereign, but I really don't get why they'd be enforcing Gallic laws. Nothing I could find suggests that this is something that they do.
I have similar questions about the Hogosha ID, however, they have the backing of the biggest corp in the house, and are significantly more legitimized than the Corse.