Depends on whom you talk to...,
Today it is a custom order, so one might think that the issue has been decided, and that the uniform twist rate barrel has been proved superior...
But I've never seen the paper where anybody did a study.
In 1940, it was still in debate..., maybe it is today.
Accordingly, Ned Roberts wrote in The Muzzle-Loading Cap Lock Rifle, that...,
"John R. Chapman, in his book, The Improved American Rifle, (doubtless the best volume on the muzzle-loading rife heretofore) published in 1848 but written in 1844, states: 'I venture to assert that a rifle with a gaining twist, in a windy day at 220 yards, will make a string [group] one-third shorter than a rifle with a regular twist.' ...The man now living who has been acknowledged as 'The World's best rifle barrel maker' - that master rifle-maker, Mr. Harry M. Pope, claims that the gain twist is superior in accuracy to the uniform twist for lead bullet rifles. "
Please note the distance where the advantage is noted, 220 yards in the wind, also known as 40 rods, target shooting. They are using conical bullets, with paper or linen patching.
Mr. Pope is further quoted as to the reasons why this type of rifling works so well.
"The advantages of the gain twist are three: 1st- The Twist being less at the breech, gives less friction to the bullet; it therefore starts easier and quicker, giving the powder less time to burn on in front of the chamber, which therefore fouls less than in a barrel of uniform twist at the same necessary muzzle pitch. 2nd- The slight change in the angle of rifling, in connection with the choke boring, effectually shuts off any escape of gas and prevents gas cutting. 3rd- It holds the muzzle-loaded bullet in position much better than a uniform twist."
Further in the book, a barrel maker of target barrels, Norman Brockway, was quoted as saying, "I experimented extensively with the gain twist and the uniform twist of rifling and finally decided that the uniform twist was the best -gave the better accuracy at 40 rods- and the gain twist is much more difficult to cut right than the uniform twist, so I quit making rifles with the gain twist."
So who is to say? For the paper patched, conical bullet, and combined with a choked bore, it might be an advantage. On the other hand the last quote seems to indicate that it's was a pain in the backside, and perhaps was not enough of an advantage that uniform twist rifling (what we have today) being so much easier to make, for most of our modern applications it makes sense to do it cheaper, and very well.
LD