Simple: the air forces that used through-hub weapons had already determined they were superior and were not going to revisit that assumption., and those that did not had already determined that the through-hub weapons were not superior or at least not enough superior to wing-mounted guns to be worth the design compromises in engine, propeller, gearbox, and cowling to be worth the bother.
I agree somewhat with that but the way that some air forces "determined" that through the hub was better seems to be pretty sketchy. The French seem to have started in WW I but I am not sure any tests were done, aside from seeing if it work at all.
The attraction of through the hub was than a heavy gun could be carried with the engines of the time (late teens/20s/early 30s) that were not powerful enough to provide good performance with more than one heavy gun. Wing guns were a rarity until the 1930s for much the same reason. More than 2 machine guns (or up to four) was too much of a performance penalty for the engines and propellers of the time.
An exception that proves the rule was the Sopwith Snark with two Vickers guns in the fuselage and four Lewis guns under the lower wing.
It was a triplane powered by the infamous
ABC Dragonfly engine of 360hp (rather good for 1918-19 but the engine could have lost the air war for the allies in 1919 it was so bad).
It was about the only fighter to use wing mounted guns (aside from over the pilot ) until the 1930s. However the guns (with their 97 round drums) could not be reloaded nor could the pilot even beat on the gun with a gloved hand to try and clear a jam. Wing mounted guns would require another generation of guns of higher reliability.
Hispano got on the through the Hub band wagon and designed their 1920s engines with pretty much a clear area between the cylinder banks even though Hispane had no gun to put there at the time. This carried on through the 1930s and the licence built Russian M-100 through M-105 series.
The 1-0 was designed for
either two cowl mounted machine guns OR one hub mounted cannon. The hub mount does, as you know, do away with the need to synchronize the gun.
The First German cannon was a real beast firing the same cartridge as the Flak 30 AA gun and weighed 64kg (as much as five 7.9mm MG 17s) so carrying multiples of this gun was pretty much out of the question with a 600-700hp engine. The 20mm MG FFs in the wings of a 109 were under 30kg each.
So the Hub mounted advocates had picked their path and started designing guns and engines to suit without any real combat experience (2-5 aircraft shot down in WW I by hub mounted cannon and most/all? by one pilot?) or even testing. The wing mounted machine gun/cannon crowd also fell into position almost by accident. You can't use a hub mounted gin on a radial, the Merlin wasn't designed for hub mounting (neither is the Allison but it is late to the game). and most of the 20mm and larger in 30s could not be synchronized so fitting such a gun inside the prop disc area to simulate a through the hub gun (at a lower rate of fire was out.
The US and Japanese didn't fit wing guns to much of anything until 1939 or after. Italians didn't fit wing guns to fighters very often until after the war started. They did use wing guns on a few attack planes.
The French, Germans and Russians were pretty much the proponents of the hub mounted gun.