To the first part, 100%. I guess I didn't make that clear, but do not release until they soften.
To the second part of what you've written, I hesitate to put this on a public forum, because it can be done incorrectly, BUT, that situation would benefit greatly from saddling him up, putting him bridled in a roundpen, and tying his head around. Don't walk away and leave him. Just back away 10-12 feet and ask him to move. Let him fight himself. Let him apply the pressure to himself. Let him do this without a person "up there" in his sight. Take the human component out of the equation. Just to be clear, I'm talking about doing this for 3-5 minutes each side. I'd want to gently ask him to move around. He should just be walking some small circles. You don't want him tied very shortly, something on the order of 45-60 degrees, not less or more. Maybe he gets tied left for 5 minutes, right for 5, left for 3, right for 3. etc. You don't want to bend to far to tie them, nor leave them for long. If they soften, untie them and swap sides. Stay right there a few feet away the whole time.
Done poorly or for too long, this will lead to fatigue, leaning on the bit, resentment to the bit, and a heavy horse. Done well, it can help a horse to stop trying to fight you and find the release, minus any baggage they have directed toward people.
Again, because it's the internet, do not tie a horse's head around/down/up/etc. and walk away or try to do it for very long at all (like more than 5 minutes without an untie and reset), ever. I know
@tinyliny isn't a novice and already knows this, but if someone reading this would be considered a novice by an experienced trainer (not by themselves) then you are NOT ready to do this unsupervised. Going too far with this can hurt a horse. It can also dramatically help them, so be responsible.