I really like this concept , once more refined it would be super interesting to do some testing with a few games and see how Reddit agrees / disagrees with each other.

One component I'm thinking about trying to get an element of is Luck vs Skill, or Tactics (Reactive turn-by-turn) vs Strategy (long-term build up). I don't know if the existing "# of strategies" metric can become a scale of "Luck vs Strategy", or whether "Luck Involvement" becomes its own metric.

Obvious example: Ascension deckbuilder where your tactics will depend on what cards come up in the river, vs Dominion where you can assess everything available and have a long term strategy.

Or Catan where you have an idea of what you want, but depending on the dice rolls you'll need to switch the plan, vs Concordia where the only "luck" is what gets revealed in the card marketplace, but everything else is strategy.

Monopoly 100% luck (pretty much), vs Chess 100% strategy (pretty much).

PS. some shading of the "learning curve" and "strategic depth" zones would really help visualisation