Tblover, please don't take critique of this video as critique of you or your situation. They are different.
There is a time and a place for "firmness" with a hrose. My trainer says don't be mad, be "firm". I have made all kinds of mistakes with lunging and round penning. But, I learned from them and am still learning. I really am so grateful to have had the influence of a good teacher. She has helped open my eyes and totally changed the way I view horses. But, it's been a journey. Each one of us here is either nearer or farther along the line of growth in horsemanship. But, the one who stops listening and asking stops progressing.
I have never heard of the kind of stare down described with that stallion. I find that intriguieing. I wish I could see that happen, might be something to learn there.