Well, with the tweaks so far I would say the advantage is minor, however the enjoyment of the game is something else! - I am having great fun looking around in a near virtual reality way.
My forward dead bands and the precision setting definitely help. They keep the forward view nice and stable when aiming. If I have a problem it is that I use a button to re-centre that I used to use for "up" views with the hat stick. - end result is that I sometimes press it out of habit then have to quickly re-centre my view again! At least I am very much aware of it.
Of course it does not improve my aim, that will continue to suck!
I can see the idea of using a copy map and mode switch might work but I think it may be better to simply press on with what I have set and tweak it now and then. i.e. use TIR all the time so it becomes a natural reaction with head and buttons, and not give myself excuses to use a hat switch. All in all, I have no regrets in getting it to date for the simple reason it adds pleasure in playing, You know, simply fun! Leaning over to one side and looking behind to check six may even be giving me some sort of a workout! Just moving your head a bit to see around the cockpit framing is great.