Interesting stuff.
I rather think the mouth as a touch-hole sort of a "cute" touch.
OK, so I will break the rules here and compare to cartridges. In cartridges it is seen that in bottle-neck cartridges that the efficiency goes down, that velocity per grain is lower than a straight cartridge. Yeah you can get higher velocities with a bottleneck cartridge but compared to the same caliber and powder charge in a straight cartridge the velocity will be lower than an insanely long straight cartridge. The simplistic explanation I got was that the expanding gases need to funnel through the bottleneck so loses some propelling force compared to a straight sided cartridge.
So again looking at the simplistic explanation, the smaller powder chamber then would do the inverse and be more efficient than a bottleneck since it is the exact opposite.
Makes sense from that view.
OK, but looking at the fluid dynamics of the system; let's think hydraulics.
You put a bottle jack under your truck and with a few foot pounds of pressure on the handle your are easily lifting a 2 ton truck. Small cylinder to larger cylinder hydraulic advantage.