I really like Joel Jamison and his take on conditioning. That is a really good article. Back when I was still competing, between 2008-2010..he was posting stuff on sherdog and people were very very skeptical at first. This guy works with top fighters in the game. He started his own site, the 8 weeks out site, right around 2009 I think. I read everything he posted on that site, got myself a heart rate monitor and really implemented his methods into my training.
I was in the best shape for fighting since I was in high school (where I would run track and cross country before going to the boxing gym in the evening). I even gained strength while improving my conditioning.
Like he says, its about the heart rate, not necessarily jogging. I would do bag work, jump rope, shadowboxing...etc with my heart rate in the 120-150 range for 50+ minutes. If I wasnt working and in grad school now, I would do a similar thing with sled work.
If you think about it, it is not really that different than powerlifting - build a base with lots of low intensity volume, then peak later on.