I currently own a 2nd gen Apple TV, and thinking about upgrading to a 3rd gen for my 4k TV. Reason being, TV's are generally much better at upscaling 1080p to 4k than with only 720p video data. The 2nd gen Apple TV, as many already know, only outputs 720p maximum. If I upgrade to a 3rd gen Apple TV, will I see the benefits of it's support of 1080p even when using AirPlay for Amazon Prime Instant Video on my iPhone 6 or iPad Air 2? I'm clueless as to how AirPlay through the Amazon Prime Instant Video app works. I'm not sure if it actually directs the AppleTV to fetch the data itself and stream it directly; or if the iDevice uptakes the stream -> sends it back to your WiFi router -> and then gets picked up by the Apple TV from the router. Basically, are you getting clear 1080p video when AirPlay'ing amazon prime video from your iPhone/iPad onto your Apple TV (assuming your Internet is fast enough)?