Maybe! But are they all really that petty? I/K worked with Igor on tech stuff, especially lifts in summer 2013, and Nikita was very impressed with him, so perhaps he'd want to go there. But then again, maybe he asked already when Morozov disappeared in April and was turned down - wouldn't you expect him to want to go to a coach he has an existing relationship rather than one like Zoueva who he's never worked with before? Who knows.
But I still think Igor is 100% focused on C/B and getting them to be world champions. If S/K moved to him, they wouldn't be the main priority and I think they would need to be at the moment, both on the coaching side & getting the political push.