I haven't noticed any difference or problems with the Android TV application vs the Android or web client. What exactly is broken or not great for you?
Sync play is TERRIBLE with android TV. We tried watching a show over sync play on the LAN in two different rooms and it just constantly lost sync, commands didn't go through, etc. It was so bad we only tried it once.
Controlling the Android TV app from Jellyfin Mobile or web is awkward at best, basically unusable.
The other thing to check is your transcoding setup. Sometimes the settings are not optimal and can cause playback issues.