I'm assuming you realize that there is a difference between open carry on you own property and open carry in an airport?
But I'm curious; why the airport? Why not a school or a prison or a military base or a bar?
Because it is illegal to carry firearms in a school, prison, or military base.
“But I’m curious; why the airport? Why not a school or a prison or a military base or a bar?”
I am not the Doctor, but he seems to answer your question directly.
He chose the unsecured part of the airport in order to highlight the differences between where it is legal to carry and where it is not. In Arizona, all the other places that you mention are places where it is illegal to openly carry. The unsecured part of the airport is just like any other public place in Arizona. It is not like a prison, school, military base, or bar, where open carry is limited by law. When these “gun free” zones are made, a line must be drawn somewhere, or everywhere becomes a “gun free” zone.