Some notes:
1. The groove in a gain pitch barrel decreases in width as the pitch increases, and this is true when the face of the hook is at 90 degrees to the body of the rifling head, or angled toward the direction of the pitch, which is the usual geometry. The reason for the change in groove width is the change in aspect angle (angle of advance) of the hook with respect to the direction of the groove. The groove would only be wider toward the muzzle if the hook designed for the opposite direction of twist were employed, and that is not the usual practice.
2. Harry Pope customarily made his breech-muzzleloading barrels with gaining pitch, for use with cast lead bullets. In fact, this is something of a mechanical cruelty for the bullet, and worked so well only because of the plastic nature of the bullet material, since the bullet had to engage at the muzzle with the fastest pitch, and deform the bullet body to conform with the changing pitch and land width on its way to the breech; then reverse the process under the stresses of firing - the result was shearing force applied to the bullet surface in both directions. Pope also made breech loading match barrels with fixed pitch, some for high power rounds, and they shot as well as his gain-pitch ML barrels. I believe that the secret was in Harry's careful workmanship, and not the direction, form, or gaining pitch of his rifling.
3. Left-hand rifling causes the torque generated in firing to twist the rifle to the right, away from the (right-handed) firer's face.
4. Choke in a rifle barrel is a result of decrease in the bore diameter near the muzzle, whether lapped or produced by other means: it has nothing to do with change in land or groove width.
5. The difficulties in producing a gain-pitch rifled barrel are not outweighed by any gain in accuracy, assuming equal workmanship and quality control: the most avid pursuit of the ultimate in rifle accuracy is in the benchrest arena, where you would be absolutely unable to come up with a rifling scheme or geometry which has not been thoroughly tried, and where gain-pitch rifling does not and has never competed successfully with fixed-pitch. The BR community will try anything, but won't use anything that doesn't win consistently, and the barrel makers whose products win consistently are very good, indeed.
mhb - Mike - barrelmaker, ret.