Ways don't appear to be put into kingdoms very often, even with the Menagerie-heavy option. I'm estimating only seeing a Way in about 1/6 games.
Some ways, like Owl, Frog, and Butterfly, I haven't seen at all despite playing a LOT of games. Other Ways I have seen several times.
Are all the Ways programmed? And why are they so seemingly infrequent compared to Events and Landmarks?