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I have researched the topic ("better pistol ammo for WWII military") and have drawn my own conclusions based on the facts. The limiting factors are:What is also true is that nobody here has a monopoly on being right on his assumptions. Both of us included.
A major problem was the desire to use the "standard" pistol cartridge as the submachine gun round to standardize logistics. Whatever most different countries used as a Pistol cartridge.Don't be sorry, I'm used that people are doubting a lot of my ideas
The ww2 SMGs as-is don't have some big problems, the biggest problem was that people were sometimes too late to introduce them, and in good numbers, in the second half of the 1930s.
What the small-caliber SMG might've offered is the lower recoil, accuracy beyond +-100 m, more ammo to be carried for the same weight. The SMG itself might've been lighter.
Simple blowback, you need a Big heavy bolt to work when going from a low power cartridge to a higher oneI cannot see any reason why a similar design could not accommodate a more powerful cartridge.
In 1944 the British army was considering [...] moving infantry rifles and LMGs to 7.92mm Mauser.
They wanted a semi automatic standard infantry rifle and .303 rimmed was not a sound choice for that task and they were familiar with 7.92mm Mauser and were already making the ammunition for the armoured regiments. Indeed Inglis was making the Bren in 7.92mm Mauser in quantity for the Chinese and the RAC were asking if they could swap their .303" Brens for Chinese style guns to use the same ammunition as their BESA machine guns on the tanks and armoured cars.Wait, what? What problem would this have solved vs keeping the .303?
Death it is then. Quick and painless or slow and painful? (see Futurama)Thirty aught six or death!
Mods, delete if too political.
One must consider what is 'better' about smaller diameter faster cartridges. The purpose of the machine carbine is to dominate the gap between pistol arms length/pointy stick range and LMG fire range in a portable cheap small firearm. Say 25 metres to 200 metres. Beyond that you use an LMG and standard infantry rifle. If naughty chappie is over 200 metres away stop firing at him with a machine carbine as you will annoy him and draw his fire. Call upon your crew automatic weapon to make him stop it and go away.
We have 3 classes of weapons possible and 3 classes of cartridges, with some overlap.The target remains the same and needs a certain amount of energy transferred to poke enough hole into it. To reduce weight you have to reduce energy. Nobody has seriously gone down the perfectly possible road of using .32ACP instead of 9x19mm and getting a lighter gun, lower recoil and more ammunition carriage on the soldier because it will not reliably stop the naughty enemy soldier nor poke a big enough hole in him. In a pistol the .32ACP lighter recoil allows the less experienced or smaller shooter to more easily handle his gun and place his rounds. Rather as the Enfield .38-200 revolver did when it replaced the .455" Webley which overwhelmed the inexperienced normal user. As a PDW at close I can see a small 32ACP machine carbine in that role but not as a weapon to dominate out to 200 metres.
as far as a "smaller" cartridge goes the late 50s (or 1960) they tried necking the .357 mag down to .257 (called the .256 Winchester Mag) and got 2200fp out of an 8 1/2in barrel using a 60 grain bullet. But you still need a .357 mag size action and you still need the long case so all you have lose is some bullet weight.
Note that this gets you about 200fpm more than the M 1 carbine with a bullet of almost 1/2 the weight, granted a shorter barrel on the Carbine will have some velocity loss.
These short barreled high pressure cartridges have more muzzle flash and muzzle blast than the standard 9mm rounds.
Have fired a Thompson at 200 yard range, with the ladder sightse at long range (much over 100 yds) requires skill, good sights and quite possibly an observer.
Barrel manufacture was not the real sticking point.Interesting tidbit can be read on Wikipedia:
Barrel production was often simplified by using barrels for the 7.62mm Mosin–Nagant: the rifle barrel was cut in half and two PPSh barrels were made from it after machining the chamber for the 7.62×25mm Tokarev cartridge.[21]
Japanese doing the same, or perhaps even cutting the old, long barrels to 3 pieces for their 6.5mm SMG cartrridge might've increased their production of SMGs by a good margin.
(yes, Japanese still loose the war)
early version/s of the Japanese SMG were overly complicated.
But it was the lack of contracts and lack of perceived need until much to late that were the real problems.
And ease of barrel manufacture at the cost of a new cartridge is not going to really help things.
And you often CANNOT take old rifle barrels and cut them up.
For the Japanese in 1939-39. Decide that you are going to actually use submachine guns. Lengthen the 8mm Nambu out another 3-4mm (won't fit in old pistols), use 7.7 bullets and barrels. Use two position flip sight at the rear. Forget bipod and bayonet.