Tampa8, AirTV has two products. The one available through Dish is the AirTV Player, which the support staff at AirTV calls the "white box." It plugs in to the TV and Dish seems to be unable to talk about it without mentioning Sling.
The device that Scion142 is talking about is the AirTV "black box." It plugs in to your indoor or outdoor antenna and runs the antenna signal over your home wifi router to a device on the TV. The purpose of the "black box" is to get a coax signal from the antenna to the TV if you do not have a coax cable where you want it. The purpose of this device has noting to do with Dish. To use the "black box," you connect a streaming device, such as a Roku or a Firestick, to an HDMI input on your TV and watch your OTA channels this way.
I am planning to get the "black box" to supplement my Dish subscription, in the hope that I will be able to watch local channels when Dish service is disrupted by weather or other outages. We have good line of sight to all of the towers for the major TV stations, and my neighbor can get the local channels via rabbit ears, but we are not able to put the TV where we want to watch it and were an antenna would work, and it would be difficult to run a coax connection from the antenna to a TV.