There was am overlap of effectiveness which confused things even between the 20mm and the .303 ammo. The .303 was not equipped with anywhere near it's optimum ammo During the BoB. They did not have enough of both AP and Incendiary ammo. Increasing either/both to about double what they were using in the BoB would make at least a noticeable impact.
The 20mm guns in Spitfires had problems until they got the C wing with the belt feed. There was also a problem with the fuses in the early ammo being much too sensitive and exploding on impact with the aircraft skin and not penetrating, solve in short term by mixing in solid (or hollow) inert training rounds which would penetrate quite a bit but not do anything else. I don't know when they got the fuse thing straightened out.
One does wonder what a Hurricane IIB firing 5 guns with AP and 5 guns with incendiary and 2 guns with tracer would have done to German bombers in mid 1941 compared to the 2 guns with AP and one or two guns (if lucky) with incendiary used in the BoB.
Preaching to the Choir here Buffnut453

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British didn't like American .50 cal incendiary bullets in 1940/41 and didn't use them. Which pretty much left them with with AP, Ball and tracers. And as we both know, the 1940/41 British .50 cal ammo had about 300fps less velocity which meant it had a lot less punch than the later US rounds. It was better than the British, Italian, Japanese .5/12.7 but not even the stuff the Americans used at Midway (or before?).
This is when the British could even get the .50 cal guns to fire even in the nose of a Tomohawk in the summer of 1941.