This is really hard to answer imo. There's an implication that skill and luck can be separated in poker, which I think is false for just about every game.
Alot of the skill in PLO, for example, is in understanding and managing the "luck" aspect of the game - i.e., understanding hand ranges, putting opponents on ranges, and determining whether your hand is a favorite or not given the board and action, and we're frequently making these determinations on the flop. In limit games, you need to understand drawing odds
and how to utilize aggression effectively, but obviously you're still subject to the cards to come. Etc.
I think I've heard stud described as the game where skill edges are most effective - but that depends on the player pool, so meh imo. I've also heard limit described as requiring more skill and no limit formats as the least skill - but again, it comes down to how well you're managing risk, so again meh.
I've heard razz described as the game least dependent on skill, but again meh.
Hope someone else gives you an answer more in line with what you're looking for, I realize I'm kinda missing your point w this response, but (for the last time ) meh.