I honestly took KMC's words as applying across the board. I think a different poster referred to it as the Unified Theory of Combat Training.
So a lot of "skill work" amounts to sport specific conditioning. I am assuming you are BJJ focused because of your screen name so I think we could both agree that drilling techniques, "situations"(escape from _____, keep ____ position), or just rolling can all be physically draining and tax conditioning and strength. It still counts as skill work for the paradigm. I think KMC's hierarchy also explains why so many high level combat athletes have such mundane "strength" or "conditioning" programs. The fight training eats up most of their energy/reserves.
There are a lot of articles and programs written by smart, dedicated, ethical coaches on this site that suggest or flat out state that fighters should be doing more intensive cardio/sprints and some really hard core maximal strength and "sustained strength" work. Then we see videos of Manny Pacquiao doing 3 sets of "a bunch" with light dumbells, Floyd Mayweather Jr. jogging for "road work" or Cro Cop squatting in a smith machine. I think the missing piece there is that if you already are training boxing/BJJ/wrestling so hard that you have to tuck your balls into your socks to keep from tripping over them you don't have as much left for the "extra"/supportive work.
I remember KMC wrote about running long slow distances as "breathing work" when he was competing. It is worth noting that KMC competed in wrestling and judo at very high levels.
When I think that makes the most sense is with a very out of condition fighter/athlete or someone who is just beginning. If someone showed up on your gym's mat with zero athletic background, can't hang from a pullup bar grip strength, hast to do pushups on his/her knees core/upper body strength, and can't talk after climbing stairs conditioning than I really think you reverse the hierarchy.
Someone that weak would need perfect technique to get anything done against a resisting opponent with bad intentions, and they aren't perfect. If you can't carry a meals worth of groceries across a parking lot being able to be weak as shit for a long time isn't going to help as much as getting stronger, etc. I say all of this as a card carrying member of the "Technique is my religion, Pajama Warrior, Traditional Martial Artist" club.