I am not sure who is arguing against having instructors explain counter steering? And any drills are always good drills.Unfortunately, I don't agree.
I believe that the M1-2 course should include an explanation of countersteering/push-steering, and should include the at-speed obstacle avoidance drill (which requires you to quickly bank/turn the motorcycle to avoid the obstacle and again to recover upright/straight).
.... but having the expectation that a new rider should depend on what they were explained during the training to react to a dangerous situation that would involve the rider thinking first and then reacting when counter steering is required is just silly
Oh look, there is a deer on the road.... let me remember what I was explained during my course...do I push or pull or do I just plow this deer because I ran out of time to think about it.