I don't care for tie downs or martingales; I do use draw and side reins while training from the ground, but only long enough to help said horse to travel in a decent frame.
Tie Downs and Martingales are often used 'just' to keep a horses head down. This isn't always the case, but in my experience it usually is.
I have gamed every one of the horses I have owned, and never have used a tie down, and my horses were quite competitive.
I do like mix and matching color leg wraps, although usually it's just two colors, on opposite front and hind legs.
"The ideal horseman has the courage of a lion, the patience of a saint, and the hands of a woman..."