While I understand Apple TV is a product, and you're explaining that the service is available outside that particular product...
"anything that runs iOS >=4.2 and OS X >= 10.6" that is going to display a live video feed from another city is acting as a TV by Apple. Or, an Apple TV. In a colloquial sense, yes, this is indeed restricted to Apple TVs.
Yours? Certainly not. But I bet that thousands of less tech savvy people do refer to their devices as TVs, especially in the context of live video streaming.