50+ years ago the Foxcroft girls equestrian team out of California gave exhibitions of several together riding to the wire.
They only had a thin wire around the horseās neck and would do quadrille movements and jump during those.
We always started colts with a soft rope nose hackamore and to test how responsive horses were to our aids would ride them a bit without tack on their heads, with a baling string around the neck.
The trouble with riding too much without tack is that horses attention would wane and performance would get less exact, so we trained and rode most times with a bridle.
There used to be cutting classes where the rider would pull the bridle and showcase the horseās ability.
I am still on my phone and donāt have the video, but a top reining trainer bridle broke when he started his run in a big class and they did the rest of the pattern without it, flawlessly.