Classical music that is free on Apple Music subscription is a charge on Apple Music on Apple TV

As the title states, I tried to play Classical music on my Apple TV, and looked for the Classical Music App, but apparently it doesn't exist. I read where all the content was available on the Apple Music app on Apple TV, but when I pulled up something I was playing in Apple Classical Music app on my Phone (for free), there was a charge for the same content on the Apple TV on the Music App. There doesn't even appear to be a Classical Music genre/classification on the Music Search. Why can't I play Classical music under my Apple Music subscription on my Apple TV? I ended up having to cast my iPhone to my Apple TV in order to play it through my TV. I'm hoping I'm missing something. Any advice would be appreciated.