Some fans have begun calling her Ichirin Kujo, a reference to Jotaro Kujo of JoJo's Bizarre Adventure, from Unzan's appearance with Ichirin and fights with her (emphasis on fists).
Within the fandom, Ichirin's presence tends to be overshadowed by Unzan. Even ZUN himself says she's nothing more than "Unzan's hitbox".
While Unzan is often shown to be quiet and calm, some fans like to revert this by having him shout and yell in normal conversation with Ichirin with a jolly look.