^ Ooh, that's good!
I agree. Even though Klaus has a lot more in common with Damon than Stefan, I think Klaus would definitely not care enough about Damon to want him as a wingman. The only thing that would give him incentive to help get Damon back would be if doing so would benefit him. He would want something in return, and what's a better motivator than having the girl that you fancy appreciate the gesture and/or see you in a new light?
