I've found a lot of original rifles to follow that rule, but fowlers and pistols no. The thinnest "production" fowler barrel is probably Caywood's 41" barrel or Colerain's 46" 16g barrel (3.7lbs). These still have 3/32 to 1/8" barrel sections at the muzzle. Original fowlers, intended only for shot, have barrel walls around 1/16" or less. Smoothbore pistol barrels are the same way. Some of the finer guns at the Metropolitan Museum have barrel walls that looked close to 1/32", THIN! I imagine part of this is for liability reasons today. Getz and the other custom guys will make them I'm told. Don, want to chime in?
-Eric
Oh, woops, I just realized you were comparing to thin modern shotgun barrels... I've wondered myself why a lot of modern BP barrels are still so much heavier than contemporary rifle and shotgun barrels. A lot of barrels are made of 12L14, very easy to mill. Modern cartridge barrels I imagine don't mill as easily. Just a guess...