Comments on https://lichess.org/@/stefanrebner/blog/three-openings-where-the-right-reply-depends-on-rating/8R2MDy85
It is not transitive.
Lowest level: 1 e4 e5, then 1 e4 c5, then 1 e4 e5 again.
Lowest level: 1 d4 d5, then 1 d4 Nf6, then 1 d4 d5 again.