Ah, Wilson's a drama queen. I love the character, but I wouldn't be surprised if his resignation was just another plot to try to get House to admit he's human.
I can see it now (similar to Foreman's resignation)
House: You're faking it.
Wilson: No, I'm not. But the fact that you're denying it means you might actually miss me.
House: No, I can't say I'll miss you. Now, Raoul, the guy at the coffee store who finally gets that I just want my coffee black, no frappachino, mochachino, espresso crap, if he were to leave, I'd miss him.
Wilson: Oh, my God. You feel guilty and think this has to do with you.
House: Everything has to do with me.