There is no evidence for that that, larger rounds are far less disturbed by air currents. The Ikara MG FF (basically the Oerlikon with the shorter medium velocity cartrige) weighed only 23kg and was successfully used on hand swivel mounts on a number of Luftwaffe aircraft as was the MG151/20. MG FF (and MG151) found themselves on swivel mounts on the nose of the He 111 and Do 217 and rear canopy of Ju 188.
The MG15 fired 1050 rpm of rifle calibre bullets from a 75 round magazine. A 4 second burst with say 5% hits would put about 4 rifle calibre rounds weighting 12.7 grams into a target.
The MG FF fired 540 rpm of 20mm bullets from a 60 round magazine. A 4 second burst with 5% hits would put about 2 x 20mm rounds weighing 134 grams in to the target.
If a 12.7 gram bullet hits a Hurricane bullet proof widescreen it gets scratched. If it hits an oil cooler or radiator the engine looses power 5-10 minutes latter.
If a 20mm bullet hits the windscreen the pilot dies or gets injured enough to make him loose interest. If it hits the shank of a propeller blade it gets blown of, if it hits the engine block it starts leaking oil and stops working.
Luftwaffe fighters sometimes had no more than 5 minutes over Britain and never more than 15 minutes. Drop tanks mean they turn up at high altitude near the UK coast with a full tank of internal fuel having used the jettison tank to form up, gain altitude, find the bombers they are escorting and cruise. The ammunition problem is over stated, 60 rounds at 540rpm is 11 seconds which still leaves plenty of (30-45) seconds of 7.92mm from accurate central guns. If you assume an Me 109E4 has an range of 400 miles its operational radius will be 1/3rd of that which is 133 miles. With a drop tank the range goes to around 650 miles and the operational radius goes to about 220-240 miles. The bombers are much safer, the Hurricanes and Spitfires take greater losses.
The 20mm MG FF was in service but the 40% faster firing higher velocity MG151/20 was not. The 20mm tail gun on the He 177 had about 55 degrees swing to either side if the tail gunner was in the prone position or about 30 degrees if he chose to sit. Glass looks optically clear, nice and flat and bullet proof.
The Hispano was not yet ready by the BoB and was particularly finicky in wing installations (OK in mosquito).
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The rear gun on the He 177 was effective:
P-61 Black Widow vs. He 177 Greif (spoiler alert happy ending)
FalkeEins - the Luftwaffe blog: P-61 Black Widow vs. He 177 Greif
The proposed armament for the Do 19 and Ju 89 when they flew in 1936 on miserable 600hp engines was twin 20mm guns in the dorsal and ventral bathtub (presumably forward and rearward facing)
The MG FF and MG FFM could use 30,45,60,90 magazines and I think the 30 could come as a clip or drum. Choice of magazine seemed to depend on installation (nose, ventral bombola facing forward etc). I know the 90's were for the Fw 190 but pictures suggest both 30 and 60 were used on Luftwaffe aircraft in flexible mounts. It would depend on the space available.
"and not been a whole lot better armed than the twin engine planes" Yeah, sure, you are serious. A hit by a 134 gram 20mm bullet is likely to be devastating to a pilots bullet proof wind screen, engine block or propeller shank whereas a 12 gram 7.92mm round will likely do next to nothing other than a 20 minute repair. The rear guns, even if only a MG15 at least got a very clear shot at the approaching fighter and likely would have been a 20mm gun by 1939/40. Both the MG131 and MG81 were in production by 1940.