No they don’t. One is simply called Apple TV and the other is an app. The Apple TV itself is a hardware box and has no icon. The TV app is preinstalled on Apple TV hardware and the only difference is that it can integrate with other apps. However, home sharing is not part of the Tv app there either, it relies on a separate Computers app.
The Tv app is accessing your previous iTunes purchases and streaming them via the cloud. Accessing your local content is a completely separate feature and has always been contained in that separate Computers app. That app and feature is not part of the support brought forth on other devices. The Apple TV hardware does a lot more than what is contained in the app and hence is not a replacement for the hardware.
The reason you can’t access Bell on the 3rd party TV app is due to the difference I listed above, as that requires communicating with other apps and that can only be done on Apple TV hardware.