Yes - on the fowlers the forward part of the barrels are usually very thin and often have substantial taper and flare - on the Harman fowler, for example, the ID (bore) at the muzzle is wider than the OD of the narrow waist of the barrel, and the breech is very wide and tall.
The resulting balance on the fowlers is such that they feel to me like they naturally want to swing their muzzles up skyward for wing shooting as you shoulder them - you don't even have to think about lifting it.
Breech size, barrel thickness, and configuration of the flat to round transition on many of the standard reproduction barrels out there today are areas where few makers today really ever truly copy the original's features.
Guy