Yep I do this. The game can take 15 minutes to teach, but an hour for me to re-learn if I have to read the rules again. If I write my “teach” into a cheat sheet it’s so much easier to replay because it removes the mental barrier of having to read yet another 39 page manual.
Plus, there’s always some tricky rule that everyone gets wrong the first time I explain it. My notes help me ensure I teach it “right” the first time.
This is really cool! My teach is usually a very similar order to what you list, but its nice to have something like this written down. I will probably steal this.
For the Woodland Alliance, I usually deacribe them as “playing Pandemic, as the disease”. You are spreading around everywhere, and can pop up suddenly to devastate someone’s clearing if they aren’t keeping you in check.