No, while Apple TV is a hardware device created and sold by Apple (something like a Firestick), Apple TV+ is a streaming platform. Think of Apple TV+ as Netflix offered by Apple. These two services are completely independent of one another, so you can use Apple TV to stream Amazon Prime, for example, and you can stream Apple TV+ on any of your Apple or non-Apple devices. As for the VPN usage, you can use it with both, or neither, depending on your needs.