It does? Cheney neither helps nor hurts Bush.
I disagree. I actually think Cheney does hurt Bush. He's too polarizing. He's likely more hated than Bush is. Can you imagine if something were to happen to Bush, and we had a President Dick Cheney? I bet anyone would rather have Bush than Cheney. I actually know of some people, swing voters, who say they would vote for a Bush/Giuliani ticket but not a Bush/Cheney ticket.
But you are right, Cheney doesn't help Bush. He adds...Wyoming. A state that goes Republican no matter what.
Giuliani, on the other hand, would even make New York more competitive. (Though N.Y. goes Dem even with Dennis Kucinich on the ticket.)