[Daisydog]

If your goal is to show that it is possible for at least some form of poker to be played with skill, then I think this is easy to do. You don't even need to make up hypothetical situations. I did the following 15 minutes ago:

Using Wilson's Turbo Texas Hold Em, I simulated a heads up limit hold em battle of 100,000 hands using two different player profiles and noted who won. I repeated this 10 more times and observed that the same player won all 10 subsequent heads up matches.

If these heads up matches were all luck, they would be coin flips and the chance that the same player would win all ten subsequent matches would be .5^10 = .00098. This should be enough evidence that at least this game of poker is not all luck.