Ah, I think I understand. Both you and your coach are right, but your coach is coming to the wrong conclusion.
You want to be most efficient at your goal race pace. For you, that's a cadence of ~190 steps per minute.
Your coach wants you to have a slower cadence at a slower pace so you'll be more efficient at those slower paces, but here is what he is missing. You don't need to be efficient at slower paces! You want to be efficient at race pace. At slower paces, you are primarily building endurance and training your cardiovascular system. There is no need to work on getting efficient at running slow.
About 15 years ago, I realized that for those of us focusing on the 1500 and shorter, slower runs should be treated more like drills to train specific body systems rather than attempting to run slow as efficiently as possible.
Like you, I am inefficient at slower paces, but so what? I'm world ranked in the 400/800.
About 15 years ago, I did a workout with Jim Spivey, 3-time Olympian. We all wanted to show off, so we went out fast. I dropped in behind Jim to watch his form and I was surprised to see that he was bouncing. Later, I realized that our 400 interval pace was so slow it was just a jog for him!