This is my experience too. The web interface is usable, but a bit rough. It is a lot like early Plex web UI. The options for clients are okay on Android / Google TV but they are kinda bad on Apple TV.
Hopefully as more people discover Jellyfin interest in development of both the server and the clients will surpass Plex.
I appreciate what Plex has offered for free for many years now, and I was once a subscriber, but I don’t love it anymore because I’m looking for the straightest path to watching my library on my devices. Jellyfin delivers this better most of the time.
I don’t know what the Apple TV app is like, but I would love if the Android and Roku TV apps were the same as the web and mobile application.
At this point I believe the server is superior to Plex, at least on my experience. Much snappier and streams flawlessly
Performance has been better for me too. I keep both installed on my media server, but I hope one day that I can easily ditch plex
there is no official apple tv app.