Is Caitlyn Camille’s Grand-Niece?

Swain says to Camille,

“My my, does your dear grandniece know what 'C' has been up to?”

Caitlyn’s lore mentions,

“Tracking quarry that does not want to be found within the confines of a city was very different from hunting in the wild, but, one by one, Caitlyn located the men who had invaded her home. None of these men knew the true identity of who had hired them, only that they had acted via a proxy with the initial “C.” The trail eventually led Caitlyn to a secret hextech laboratory where her mother and father were being forced to work for a rival clan under pain of death. Caitlyn rescued her parents, and the wardens, acting upon Caitlyn’s information, arrested the clan leader behind the kidnapping. She and her parents returned home and began to rebuild their lives, but something fundamental had changed in Caitlyn.”

Is the “C” from Swain’s quote the same as the “C” in Caitlyn’s lore?

Is that “C” Camille? What is C up to? What is her relationship to Caitlyn like, if C is Camille?

Edit: Further evidence that Camille is the “C” in both quotes.

Caitlyn’s biography is partly a story about seeing beneath the veneer of progress in Piltover, whose “gilded promises could harden even the kindest heart” into one that would sanction kidnapping and enslaving the artificiers of a rival clan.

Camille’s theme is partly of having such a hardened heart, working in the shadows, beyond the law, to protect the structure of the “gilded” classes of Piltovian society. Who else but she might have been behind the case that happens in Caitlyn’s lore?