He certainly knows that his PR will be in jeopardy if they separate. He may have come to Canada with good intentions and he may be acting out because he is bitter and hurt that his wife cheated on him.
Personally I find it hard to argue that a relationship isn't over until both parties agree... because while it is morally wrong for someone to cheat on their spouse then kick them out, it is also morally wrong for the injured party to force someone to maintain conjugal relations unwillingly. Yes, I know people want closure, and they want to be compensated, emotionally or financially or whatever, for their pain, etc. Emotionally I get that, but legally it doesn't work that way. You need consent to maintain a relationship. And the law does not say that someone who cheated on their spouse cannot ask for divorce.
I imagine the OP's husband feels that he deserves to live without paying rent, and to keep his PR status, as "compensation" for her infidelity. And I think there are probably actual cases where couples split up, (because of cheating or for other reasons, doesn't matter) and they decide not to inform CIC so that the other person can keep PR. That's an amicable breakup, and while not strictly legal, if the two parties agree, CIC won't find out, because they don't go around checking on people (with the exception of a few rare cases) - nor should they, they have better things to do with their time...
