I used it when I played baseball and softball back in the day. Burning a cork was just as good as the store bought "eye black." I wore it because I thought it was cool, IMHO it didn't help glare that much. There is very little defense an outfielder has for a ball directly in the sun, creating a good angle beats eye black by miles.
They do that when they're hung over from the night before. That way when they're on the sidelines and they want to take a little quickie nap, nobody can tell they have their eyes closed.