Basically talking about a different/related issue, but…
http://www.gambling-law-us.com/Articles-Notes/online-poker-skill.htm
The answer to the question appears to be that courts haven’t ruled on it.
Obviously poker is a game of skill, and just as obviously on any individual hand there is a huge amount of luck. Is “poker” a lifetime game, or is it a series of unrelated individual hands? Skill predominates over a lifetime, luck probably predominates on the turn of a single card in a hand.