Not by a whole lot, depending on the powder/loads used. Most shotgun powders burn fairly fast, most loads are consumed within 14- 18" of barrel.
"Unlike the days of black powder where long barrels were required to achieve good powder burning and velocity, today’s powders require only 18" to 20" of barrel length." -
http://www.tanksrifleshop.com/shotgun_notes.htm
"Barrel length and pattern/velocity questions are mostly a matter of complete combustion. So, whether one is getting a complete burn which has peaked in pressure, delivering consistent velocity, depends on length of barrel and powder type. Slow-burning powders, such as Alliant Blue Dot®, will take 26 inches or more for complete combustion.
Patterns will be rendered inconsistent by inconsistent velocity, a byproduct of an incomplete burn. The closer we get to 100% of the granules burned predictably, the more consistent the pattern will become.
-
http://www.ballisticproducts.com/bpi/articleindex/articles/barrel_length_and_patterns.htm
"A long barrel has only the very smallest ballistic effect with modern shotshells. In the old days of
black powder, longer barrels allowed the powder to burn more completely and produced higher
velocity. Modern powders burn much more quickly and barrel length has minimal effect on
velocity. Choke has more effect on velocity than barrel length does. Did you know that a 12
gauge using Full choke will have about 50 feet per second more velocity than the same gun/shell
using a Cylinder Bore choke? I was surprised when I found that through testing. " -
http://www.shotgunreport.com/TechTech/TechnoidArchive/25-July-08.pdf
"...most shotshell powders complete most of their burn in the first eighteen or so inches of barrel length. -
http://www.chuckhawks.com/shotgun_recoil_monster.htm
Choke will have some effect on patterns and therefore on effective range. But there is such a thing as TOO MUCH choke, which works with the opposite effect some people think. Forcing a load of shot through a very tight choke constriction can damage some of the shot- leaving them with flat spots. Those flat spots make the damaged pellets fly wildly, opening the pattern- sometimes considerably.
As to new production double barrel hammer guns- there are lots of 'coach guns' with short barrels, I don't know of any with longer barrels right off hand...
lpl