Luck versus skill as a concept is the idea that you can discriminate between agents ability to win. You can state that one agent is better than another agent at

Luck versus skill as a concept is the idea that you can discriminate between agents ability to win. You can state that one agent is better than another agent at a game with greater confidence bounds on the basis of a quantification of their skill. Perfect information versus imperfect information is the concept of whether you are playing a game over information sets and strategy space versus the states and actions of perfect information. Conflating these two ideas is going to lead people to talking past each other. They aren't the same concepts.