Sorry. I fail to see the problem.
What, in reality, is a JNCO/ CLC/ PLQ/ etc course?
It's a course that teaches:
How to give a drill lesson;
How to instruct a class;
Small party tasking; and
Working as a team to overcome a dangerous obstacle.
I fail to see how these items are not for all trades. .................................................
The best way to confirm this, is the application of Battle Procedure (BP). However, just because it's called BP, doesn't make it exclusive to Combat Arms. BP is the art of problem solving, in a specified order, considering the variables (and pitfalls) of a number of solutions until the most logical way forward presents itself. Everyone, but the most inept, use BP every day anyway, from what time to get up to when you go to bed. You are constantly playing 'what if' & 'so what' in your head as each new problem presents itself that day, whether you're conscious of the fact or not.
Change the name Battle Procedure to Action Procedure and instead of attacking a trench, plug a hole in dike, etc. The point of the final ex is to ensure the leader knows how to size up a situation, protect their people and delegate responsibility under stressful conditions in a timely manner to ensure the mission is successful. Mission, men, self.
The course is designed as the first step in leadership, providing the candidate with the basic tools they need to start leading/ teaching others.
Whether teaching the stripping & assembling of a C7A2 or how to use a portable defibrillator, the principles remain the same.