It has not. Idk how good their record keeping is, but this website tracks the set lists of bands and there's a stats page for each band to show how many times they've played a song. Betrayed is not on the list and I've never seen and videos or shows where they've played it.
It's probably too niche of a song or doesn't have enough energy for a live show, idk. That would probably have to be a question for Syn since it's impossible for us to tell you what their intentions are.
View the statistics of songs played live by Avenged Sevenfold. Have a look which song was played how often on which tour!
www.setlist.fm