In regards to how the menus are laid out in each app, they are doing so according to design patterns for each operating system.
The tab bar is an Apple TV and iOS design pattern. The left side menu in Android TV is their design pattern. We believe in adhering to the patterns of the operating system so we can fulfill the expectations that users have for those platforms.
It sounds like you like the Apple TV version better, so glad you found one you like! I personally prefer the patterns in Apple TV more myself.