30+ episodes since they've shared a scene. That string might have been broken this season but I don't remember them having a scene together. Last one was when Alicia was in the rural area trying to depose the guy that Canning was keeping away from her and Kalinda dropped off some clothes.

Outside of the conspiracy theory, the biggest problem with Kalinda was that people loved her character so the writers forced in all of these b-stores for her and they never worked: her rivalry with Friday Night Lights dude, her husband, her rivalry with Irish dude and her girlfriend cop, the Kalinda/Cary relationship. She got some new life during the split and she was kind of a double agent but that was short lived. While her relationship with Alicia was strong, she really shined in the procedural element/cases of the week and the show has moved away from those. They probably should have just spun her character off.