Playing this made me think about how games create illusions. Like when you program a "camera", it's often really nothing more than offsetting your map to the left when a player "moves" to the right. Even though you say "the player moves the level", it really feels like you are just controlling the bird 🤔 so in a way it didn't feel like the roles were reversed, because it feels similar to the classic.
That being said, it's actually playable and pretty fun, which is sometimes not the case with the more "creative" ideas I've seen! So nice job on that. If you want to improve on the feel, I might suggest making the hitbox a bit more forgiving, I always died really fast and it's pretty difficult to control the birb 🐤