Yeah, she does seem to like making sure people know he's hers. When they were doing press for A Million Little Pieces, she was basking because of people going on about the full frontal scene and how lucky she was.
There was a blind on CDaN a few days back, more or less saying the same. If it is to be believed, she was the one who talked him into Kraven when he was in two minds, the theory being she did it in the hope it would screw up his chances of Bond as she is worried it would finally make him see sense.