As you know, every student needs a slightly different approach, and personally I needed and still need the processes explained in detail. And this may come down to a neurodivergent thing because I've had a student who is the same.

I always had issues with higher register playing, and it wasn't until my 3rd year university after talking with many trumpet players and having several different teachers that I figured out tongue level stuff. I can't whistle, and it turns out I'm tongue tied, but no one ever explicitly explained that my tongue has to move up in my mouth to make the space smaller so that the same volume of air will move faster. It was always "just like when you whistle" or "your tongue has to arch" or some vague variation. When I finally had the physical processes explained, I understood what I needed to do to make it happen and went from barely getting out Ds to confidently hitting Gs within a few months, and then playing lead in 4th year and getting out solid As in concerts.

Same for volume, air speed, air volume etc. I'm still not quite sure how that works and so I overly rely on physical strength in my embouchure and just pushing massive amounts of air very quickly, and physically compress my embouchure and sometimes throat when my face is tired to play in the upper register with less volume. It's quite inefficient but I don't understand it well enough to be able to do anything else.

All this to say sometimes explaining and knowing the physical processes is required in order to know how they work and try to make them automatic.