From what I can gather, the breech end of the barrel starts out with a rather slow twist so the projectile won't be apt to slip the rifling as it gains velocity. The progressively faster rate of twist adds additional stabilizing energy to the projectile by increasing the spin rate, while the choked bore also contributes to increased velocity and further aids to keep the projectile from slipping. Thus, imparting more overall energy to the projectile and creating potentially longer range accuracy, at least in theory.
The important factor I guess, would be to not create a progressive rifling twist which would be too fast for the particular projectile, or it's trajectory might suffer rather than be enhanced.
One interesting antecdote from a machinist's forum reads:
"dan;
there is and always has been a controversy over gain twist VS constant twist.
my own personal opinion, and ive come to this after picking Bill Larges brain for hours, is that a properly cut barrel if straight and with a tight fitting patch for the 4" closest to the muzzle is more accurate than the guy shooting it.
Bill won the 1934, i believe, national shoot using a .35 cal. rifle and his spread was .370" which was a mean deviation of .010" on 2 shots. this was a chunk gun shoot 60 yrs. shaded open sights over a log, like in Sgt. York with Gary Cooper. i have seen the target and that was some fine shooting.
Bill didnt cut gain twist but he did refresh them back in the 30's and 40's. when i met him in the early '70s he was busier than a one legged man in a butt kicking contest.
any way the gain twist barrels that ive ever headr of started out real slow around 1:96" or 1:72" and ended around 1:48".
i do know that 1:66" was the twist that Bill used to hand cut his premium barrels but he also had several Pratt & Whitney's for 1:48" for .45 cal and smaller...jim
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I also happened to read that progressive twist rate barrels are quite popular among paintball gun shooters, and shooting paintballs is somewhat similiar to shooting PRB's. They sure don't like their paintballs to burst inside their barrels.