I guess I don't understand what you mean.
Without FFB hardware, When you enable "instant trim" for any of the official modules, as soon as you release the force trim button, you need to recenter your physical joystick, because the trimming results in a doubling of your input so that at physical=0,0.. the virtual x,y is whatever you trimmed it to.
WITH FFB hardware, when you press force trim, the spring forces are relieved on the joystick.. when you are done trimming/maneuvering and release the trim button, the spring forces return, centered on the new position. Physical and Virtual stick positions always match.
Neither of these freeware/community mods support FFB. Thus, the stick will not behave as in the 2nd description. You need to use hardware trim to emulate the behavior.
If you enable hardware trim but don't unbind the force-trim in the game, you will end up with an offset spring position but with double the input in the game = bad times.
Regarding hat trim, the IRL Blackhawk has an AFCS system and has motorized hat beep trim, The IRL OH-6 does not have "force trim", but does have hat trim to help alleviate stick forces required to hold the helo at any given attitude
