One of Byrne's chess students related later why he played on: "First of all, you have to remember that in 1956 no one knew that Bobby Fischer was going to become Bobby Fischer! He was just a very promising 13-year-old kid who played a great game against me. When it got to the position where I was lost, I asked some of the other competitors if it might be a nice thing to let the kid mate me, as a kind of tribute to the fine game he played. They said, 'Sure, why not?' and so I did." Tim Krabbé, Open Chess Diary (scroll down to No. 241) (quoting Don Heisman).
