Sorry if this has been covered before. Would there be any difference in picture quality between Apple TV airplay from my Mac mini, compared to directly connecting the Mac mini to my TV using HDMI? I'm only interested in 1080p playback. Both my Apple TV and Mac mini are connected to the same router using gigabit ethernet. The reason I ask is that my Mac mini is my primary computer, so I would prefer to keep it on my desk than put it next to the TV, however I would like to set up a database of movies and other content to watch on my TV, and would like to use a Mac to do this.