Paul, no, English teachers are classed under "humanities/international relations." They're not entertainers but people with an ability to help establish relations with other countries -- in this case, people who are native English speakers.
Though they may feel like dancing bears sometimes
The reason why you need to submit a photograph is because they want to know what you look like. If you think that's because they have preferences in hair and skin color you would not be far wrong.
I met many AETs when I was an English teacher and they were all blond, except for one redhead. But times may have changed...