Shortround6
Major General
The 0.5 inch Browning is likely to have been unattractive for many air forces.
The MG131 was designed around the concept of creating a compact 13.2mm gun that could directly replace rifle calibre guns.
A M2/0.5 inch browning in many cases would not have fitted, probably not in the Me 109 cowling stations or the more streamlined or smaller German turrets.
The MG131 seems to have achieved its objective of replacing those guns while providing the destructive capability that had been lost to rifle calibre machine guns as armour increased.
Perhaps the Browning might have fitted easily in the wing stations of the Me 109 without fitting gondolas but if that was the case the MG131 could have been fitted anyway.
I'd argue that the Spitfire might have done well with its 8 x 303 Browning's replaced by 8 x MG131 type guns.
The German MG 131 was able to replace the 7.9mm guns one for one on a somewhat limited basis. While the gun may have fitted volume wise the ammunition feeds and empty case and link disposal was a bit harder. You also had a weight problem, while not as bad as trying to stick in .50 cal Brownings an MG 131 weighed about 40% more than a MG 17 and it's ammo weighed about 3 times a much per round. 300 rounds of 7.9 weighing about the same as 100 rounds of 13mm. You may wind up in a bind depending on how long you want the guns to fire. 109E-3 with 1000rpg has plenty of weight and volume to swap off. 109s with engine mounted guns cut the cowl guns to 500rpg and have a lot less weight/volume to play with.
The wing gun question gets rather interesting. The 20mm MG FF cannon weighed 28kg (bare gun) vs 17kg for the MG 131 and the 20mm ammo weighed 182 grams per round (no Mine shells) or about 2.5 times what a 13mm round did.
The MG 131 fires about twice as fast as a MG FF did so you need twice the ammo to get the same firing time. The Projectiles were over 3 times lighter and carried roughly 1/3 the amount of HE, this assumes that the MG 131 is using 100% HE and so is the MG FF, but roughly you need 3 times the number of rounds to do the same damage. Granted you have the weight of the drums but weight of the links is not figured in either.
Using a .50 cal Browning means the machine gun actually weighs more than the cannon (by one kg for a bare gun) but the ammo weight really skyrockets.
Due to weight the Spitfire (at least until the MK V) wasn't going to use eight MG 131s or HO-103s (British shrunk .50 cal Brownings) even if they would "fit" in the gun space/s. The guns alone are 70-120% heavier and the ammo is even a bit heavier than the MG 131 ammo. The .303 ammo is about 30% of the weight of the British 12.7 ammo. Keeping 300 rounds per gun of the heavier ammo would have added around 140KG to the planes loaded weight just for the ammo.
Where the Germans might have benefitted from a 0.5 inch high velocity guns is in the commanders station of their tanks. The gun might have fitted there and given the problem the Germans had with air attack would surely have been a far more serious threat to VVS and allied aircraft than the traditional MG34 they used.
This is an argument that went on long after the war, The German Army NEVER went to the .50 cal gun for AA work from tanks even as a member of NATO ( and a lot of NATO countries agreed with them). .50 ammo tales up a lot of room inside the tank, a pintle mounted .50 cal isn't really all that effective (it bounces around a lot) and the Americans fired hundreds of thousands of rounds of .50cal ammo for each plane brought down.
One advantage of an explosive round is self destruct ability. The 20mm C38 round used by German FLAK had a self destruct. It's likely the MG151/20 and MG131 also had a self destruct ability. This is useful when you are firing above your own troops and population. Falling rounds was a big killer of civilians.
This could very well be why most HE ammunition for aircraft cannon was HE-tracer. Many designs used a passage way from the tracer compartment to the HE compartment with some sort of delay component to act as a self destruct mechanism. As the tracer burnt out it ignited the delay element which then burned into the HE compartment to detonate the shell.