Your calculation suffers from significant flaws. For example, like this. The personnel of anti-aircraft units repelling raids on the territory of the Third Reich consisted of German boys and girls aged 15-17 years, factory workers, foreign workers, Italians and prisoners of war. In January 1944, the territories of Estonia, Latvia, Lithuania, Western Belarus and Western Ukraine were included in the Third Reich. All citizens who lived in these territories before September 17, 1939 (except the Great Russians, that is, Russians in the narrow sense) were subject to mobilization. At the same time, the Luftwaffe received the right to recruit personnel from these people for anti-aircraft units. The commanders of anti - aircraft units in the territory of the Third Reich were artillery officers of two categories:T. A. Gardner wrote: ↑18 Nov 2023 19:35This is just using bad statistics. How many flak guns were there in service in January 1945? I'm sure it's in the thousands. How many fighter sorties did the Luftwaffe manage in January 1945, hundreds at most?
It's clear that fighters outperformed flak significantly in terms of shootdowns given their much smaller numbers in action. Thousands of flak guns by comparison managed to shoot down a relative handful of planes in comparison to their numbers.
Thus in Jan 1945 fighter aircraft were still far more effective than flak, and the only reason flak got most of the kills was through its sheer abundance compared to the number of fighters flying.
a) older age groups of the era of the First World War; b) invalids of the current war (armless, legless, one-eyed, etc.) or wounded who were being treated. Actually, the Luftwaffe personnel in anti-aircraft units were no more than 25%, of which no more than 25% were suitable for combat use. In other words, in the anti-aircraft units defending the territory of the Third Reich, the Luftwaffe proper personnel, suitable for combat use, was no more than 10% of the total number of personnel serving anti-aircraft guns. The losses among the personnel of the Luftwaffe anti-aircraft units defending the territory of the Third Reich were very insignificant. Thus, in terms of one person from the part of the Luftwaffe personnel that could be used in combat, the effectiveness of anti-aircraft personnel was significantly higher than that of the personnel of flight units.
This is only one of the reasons that greatly reduce, so to speak, the "cost" of a shot from an anti-aircraft gun.