I have looked into fluting and based on my research found that fluting a barrel will produce less vertical then an un-fluted barrel. I have shot heave palma barrels for F/TR for my last 3 and wanted a stiffer barrel of the same weight so i went to fluting. According to computer modelling and limited anecdotal evidence there is a real benefit to fluting barrels.
you will note these are sine wave images. but they illustrate my point
Here is the heavy palma barrel
here is a fluted heavy palma barrel
You can see the fluted barrel has less swing from top dead centre to bottom dead centre. With a smaller overall swing for the entire cycle you improve your vertical by the simple fact your barrel will swing through its cycle more frequently giving you a higher probability your bullets release near or exactly the same as your previous shot.
Now i know most or all of you strive like me to tune a load so your in the top or bottom 1/10 of the swing cycle giving you an even greater grouping ability
That is how i understand it and is the basis for testing my first fluted barrel
Trevor
As for the AI doing extensive testing and abandoned fluted barrels I heard AI used button rifled barrels and as we know there is a whole host of issues with stressing button barrels as opposed to cut rifle. (IMO)