I enjoyed your link, what I took from this is that you should still do a long run a couple times per week, but I wasn't inspired. He says fighters have been gassing out and just attributed this to the fact that they aren't going for enough long runs. I'm just basing this on my own experience, but I think that during a sprint training/ interval session you are also getting an aerobic workout. When I sprint up the hill, and then I do a light jog back down, that has to have some aerobic value.
Also, the length of the fight needs to also be considered. If you're a boxer and you're prepping for a 10 round fight, it makes sense to me that you would want to go on these long ass runs.
I think you should always incorporate some form of running, for me it is sprinting. I never felt deficient when I spent a summer with no long runs and strictly sprinting on a track or up a big hill. If anything when I was feeling lazy I would go on a long distance run because I knew it wouldn't make me feel as tired and I could still get some benefit.