We can start with the canard about the Bismarck's AA fire control being unable to engage the Swordfish because the aircraft were so slow. This fails the basic smell test, as the AAFCS development process would have started when the Swordfish's predecessor was still in service and it would be incredibly stupid to design a system that couldn't cope with the threats that existed when the design started. While I don't think that the Germans were technically superior to everybody else, I don't think they were stupid, either.
The Bimarck's FLAK not being able to track 'biplanes' is a provable myth. It does obliquely link into the proctalgia fugax in this thread over the Dornier Do 215B2 that the Reich supplied the USSR in return for its cooperation and most particularly its Wheat and Oil.
The FLAK systems for the Bismarck's 10.5cm and 15cm duel purpose guns was designed and capable of attacking fast small boats such as patrol boats either with a burst above the target or via direct fire. Obviously they'd be able to track a biplane. The guns could all depress several degrees below the horizon. This nonsense was fabricated by someone who was pretty ignorant, like we all are on certain topics, but propagated as if he knew for sure.
You can get all of these Original documents from KBismarck.org
There were supposed to be 4 triaxially stabilized directors: a pair to port and starboard of the bridge, they look like cyclops, and another pair in tandem aft of the superstructure.
Because of the Reichs agreements with the USSR the two tandem aft directors were removed from Bismarck (and another two from Prinz Eugen) and shipped to the USSR. There was no question of the Reich not meeting its agreements on time. Less capable biaxially units were installed and may have hurt Bismarck's Defense.
They were very advanced: the target would track bearing, elevation and range ( taken in by a 3.5m range finder). Any other range finder could provide the data including any of the 3 FuMO 23 Seetakt radars or the 10m main optical range finders. These were converted to Cartesian coordinates and the 6 variables (x,y,z) for position and another 3 for velocity in the 3 directions calculated. The position of the target could thus be predicted at anytime 't'in the future. Another computer would converge on a firing solution, firing time and fuse setting time. The solution was transmitted via remote power control direct to the electro hydraulic elevation mechanism of the 10.5cm guns (hydraulic swashplate) but the traverse was by power operated but manual match the dial. Probably for safety reasons as this was an open mount and the men walked around the guns. All the other turrets were completely RPC.
The attack on the Bismarck was carried out in limited visibility and the Swordfish used clouds to hide from the Bismarck's FLAK. The Swordfish had radar. The Japanese also used clouds to hide when they sank Prince of Wales and Repulse but that was on an otherwise clear day.
The Bismarck had 3 FuMO 23 Seetakt radar. The beam width was about 4 degrees and they could probably localize the Swordfish to within 1 degree and their range to better than 70m but they did not know their elevation.
No one in those days had a PPI Plan Position Indicator display in service. That means the radar operators would have been tracking targets and calling out their position for a plastic model to be placed on a plotting table of some kind. This plotting room was inadequate to the task as noted by the Kriegsmarinen Artillery Branch. 3 radars plotting 12 aircraft, overloading.
The 10.5cm and 15cm FLAK was very good for the day.
The 2.0cm and 3.7cm was week and this was what may have let the Swordfish through.
The 2.0cm C38 FLAK in a quad mount was a very effective weapon but there were only two of these. The rest were more basic single and twin gun mounts. The C38 2.0cm had 5300 yards range at 45 degree elevation, which was slightly more than the RN 40mm Pom Pom. When fired from a quad mount 2 guns could maintain continuous fire while the other two were reloaded and cooled. Dozens were fitted to Tirpitz but Bismarck had inadequate numbers.
The naval 3.7 cm guns had excellent ballistics. Fired at 45 degrees they had a 9000 yard range. By comparison the 40 Pom Pom was 5000 yards, 20 mm Oerlikon and 2.0cm C38 5300 yards, German Luftwaffe/Army FLAK 3.7cm 7100 yards. They were almost as good as the Boffors 40mm and its 11000 yard range.
They were fired from a gyrostabilized mount aimed by a reflector site.
Their main weakness was that they were manually loaded semi automatic weapons so rate of was 30-60 rounds per minute.
This is not totally silly since higher firing rates would have blinded the gunners with flash and smoke and lead to guns over heating.
What was needed was FLAK predictors to remotely aim the guns to get the gunners away from the blast and smoke.
One survivor from the Bismarck says he was unable to aim his gun because of the flash and smoke of the nearby heavy guns.
So there you have it: 12 swordfish, 700m visibility, Clouds to hide in, enough of a swell such that the German gunners reported seeing the Swordfish dip below the waves, congestion at the plotting table which was overwhelmed by 12 Swordfish attacking simultaneously, gun blast from nearby weapons disturbing the critical 3.7cm weapons.
No ship would have performed well at the time in these circumstances at this time. Tirptiz with here upgraded FLAK was able to evade all Torpedoes and shoot down two Albacore's latter.
The Germans introduced a PPI radar on the ground in the form of dreh Freya and Jagdschloss in 1943 and in the form of the 50cm Hohetenweil radar in 1944 on ships as well as a microwave unit called Berlin.
The Royal Navy was perhaps a little more prepared in that it was trying to use remote predictor aiming (using match the dial initially) for its 40mm Pom Pom this moving the gun aimers away from the blast but it had such mediocre ballistics. They also had a basic range only radar type 285 on these sighting stations that could autonomously locate a target and thus reducing the overload. 3 of 4 were broken down on PoW for want of parts on the day of her sinking.
Tirpitz received an upgraded Seetakt that could get bearing to 0.25 degree and was blind fire capable. It's somewhat of a mystery that GEMA produced 58 height finding radars for ships. I'm told that some of the latter Seetaks had height finding capability through the phase steering type system used on their other product the Wasserman Early Warning and height finding radars. (That's a naval mystery).