Mars has a special one that is marked ... CHUTE ... in plain sight ... this is so he doesn't get confused and accidentally put on his My Little Pony backpack when he goes up.
LOLH My Little Pony PINK backpack thank you.

It is mandatory for everyone engaging in aerobatics to wear a chute, no matter the plane.
Most warbird guys I see do wear a chutes. I guess the bottom line is, if you can get out most will try.
I think it says alot about Tucker and the plane that he did not try to nurse it in. There is a definate point where your bank can not be saved with rudder. Go past that low level and your dead.