"Anyone with ears knows of thy strife with him," says Laertes, and quite frankly he would be surprised if Claudius hadn't tried to turn her attention toward Luo Binghe when he was still working out his angle. That's the kind of thing he does when he's in a panic; he recruits allies against whoever he fears is the biggest threat to him. He did it to Laertes immediately upon his arrival, after all. "She means to stoke that strife, the better to conceal her own ends. And much though I hate to say it--if she knows thou art set against him, it may be because he has some useful power that she fears."