Though I can use my desired TIR profile, the "center view" joystick button I've mapped is not reckognisable in game.
I double checked and that particular button is "free" in game...
That was my first indication that TIR was using the Default profile. Only F12 would center my TIR view in-game, which is it's default setting.
I believe using the 'Exclusive' checkbox on the profile you want works, although I've not tested out a differenct Centering setting for it since there doesn't seem to be any hotkey using F12 in WOFF anyway.