The 3:1 production ratio of the Pz-III vs. Pz-IV was sustained during even through 1942; same was the thing about the on-hand numbers. Production of StuG-III was in the ballpark with the Pz-IV production, from 1940 to 1942.
That is because the numbers fitted the
doctrine.
A panzer battalion was supposed to be made up of 4 companies. 3 companies of MK IIIs (the fighting tanks) and one company of MK IVs, the
support company firing smoke and HE.
The StuGs, in the early versions, were assigned to artillery units supporting infantry divisions, not panzer divisions. In the Field actual practice may not have followed doctrine especially by the spring of 1942.
Now in France in 1940 proposed doctrine was a real mess in the Field because there were nowhere near the number of MK IIIs needed to fill out the tables of organization. Which led to the hundreds of MK 1 and MK II tanks being used to fill out the numbers in the medium tank companies. Also the numbers of Pz 35(t) and Pz 38(t)s used as ersatz PZ IIIs. in two divisions.
For the Germans the
doctrine seemed to have worked in Poland and then in France. Given the massive shortage of Pz IIIs which would be somewhat solved with the end of 1940 and 1941 production (it wasn't) and the improved Pz IIIs ( heavier armor and the short 50mm gun). Problems started with Hitler calling for 20 panzer divisions instead of 10 which meant that the production schedule was woefully short.
A lot of books/internet articles do not help as the Pz IV is often described as an infantry support tank with it's short barreled gun. It was not designed or deployed to support infantry, it could wind up doing so but it was designed to help the 3 medium tank companies overcome obstacles (enemy positions/formations) they could not deal with on their own and do so while they waited for Artillery/air support to keep the attack momentum going. The Panzer divisions had infantry and the infantry and tanks were supposed to work together so the Pz IVs could wind up supporting infantry but this was somewhat different than the British and French idea/s of infantry tanks.
The original Pz III was more of an infantry support tank.
37mm gun to deal with MG nests and light fortifications and
three machine guns and a truck load of ammo. (121-131 rounds of cannon ammo and 4500 rounds of MG ammo).
Hey, they built a turret that would hold a 50mm gun so they filled it up with an extra machine gun and lot of ammo
We have the time between original specifications and combat results (2-4 years). The short 75 didn't penetrate any more armor than the 37mm gun did so the Pz IVs were not
intended to be the anti-tank element of the Pz division. By 1940 in France they had different ammo available than in 1938 so things changed a little bit (1940 shaped charges sucked). The Pz IIIs were intended to be the anti-tank element. The short 50 restored the intended balance (not enough) and the short 75s could stay as the smoke/HE throwers. Their own AP ammo (shot/shell and HEAT) was more for self defense. And that worked, at least somewhat in NA. The Soviets had not read the script for the play/movie and T-34 and KV tanks switched everything around.
Germans should have slapped a 50mm gun in the Pz III to begin with and gone for the long gun just as soon as possible. The short 75mm in the Pz III was not the answer.
The PZ IV as a support tank, in the German plan, made some sense. It held more ammo, it would use the same bridges, transporters, etc. it was supposed to be a support tank not a break through tank.
Henschel had worked on a prototype breakthrough tank in 1937-41.
The VK 3001 (H) (or VK30.01) that weight 32 tons and had 50mm armor front and rear and 30mm sides.
Guns planned (and there is a lot of what if in many accounts) were the short 7.5cm or an adapted 10.5cm howitzer or
maybe the long 5cm cannon.
they built 4 hulls, 2 were modified to make the famous SP 12.8cm gun, the plan was canceled to make the heavier 40 ton VK 3601.
At some point the goal had shifted from HE/smoke support to a dedicated anti armor vehicle mounting a 7.5cm taper bore gun that could penetrate 100mm of armor at 1500m and be protected from the same gun which meant 100mm of armor on the front and the end of a 40 ton tank and the upscaling to the Tiger I. Shortage of tungsten meant the end of the 7.5cm tabor bore gun and the switch to the 8.8cm/L56.
This is a "what if" and we don't have to follow the historical path, but the historical path was driven by doctrine, at least at times. We also had to consider some of these prototypes to show us what was technically possible. The VK 3001 for some reason used a 300hp 11 liter 6 cylinder engine and had a top speed of 25kph (?). Lack of torque?
11-12 liter engines are not going to work in 30 ton tanks unless you use a lot of gears. Yes you can build new engines. Germans had hole in their engine selection, not much except experimentals between 12 liters and 21 liters.
Germans jumped through hoops to follow their doctrine at times and at other times jumped through hoops to try to get their quick and easy adaptations to work. The Pz II based SP guns had a lot trouble with the change in weight from 9-9.5 tons to around 11 tons.