I apologize if this doesn't fit here, I didn't know whether it would go here or in the Horse Riding forum.
I have always ridden my horse in a tie-down and noseband, since I got him, because my horse has a terrible habit of throwing his head around when he doesn't like something or wants to get his way. I ride in it mainly to restrict his head from flying all over the place. My trainer told me to use it, and she tightens it when it's not tight enough and he goes to flipping his head everywhere. The old owner never rode him in one. He almost never gives me a problem when he's in it, but he knows when it's not on, and will put up a lot more of a fight, and he's harder to handle, and it's easier to win battles when it's on. We always ride in it (except bareback, but it's worse)- to our showmanship/western pleasure clinic, playdays, barrel practices, and trail riding. I don't like using it that much, and I would like it better if I didn't have to for everything, and I think our overall appearance would be neater if it wasn't on. I really want to break him of having to wearing it all the time, and break him of his head tossing habit, when he doesn't agree with me.
Any help on how to teach him to behave when the tie down is off, or any tips in general would be very helpful.
The actual 'tie down' isn't on here, but you can see the noseband on him in this picture.
This is very similar to what I use (not my picture, I jut google'd it).
By the way, it's not so tight that is restricts all movement, or forces him to tuck his head in. It's only tight enough that he can't madly throw his head around like he usually does.