The K-4 is nothing like an F model.
The F-4 was 6,063 lbs loaded normal gross (could be heavier but wasn't for combat ... mostly). It had 1,350 HP. Wing area was 173 sq ft. So, we have a gross weight wing loading of 3.5.25 lbs per square foot and a power loading of 4.5 lbs per HP. Ithink the internet is wrong here I thin the engine was 1,350 PS, not s,350 HP , and the power loadiong would be marginally higher.
The K-4 was about 7496 lbs gross and had 1,677 HP with the DB 305. Same wing area, so the wing loading was 43.6 lbs per sq ft. Power loading was 4.47 lbs per HP.
Being 1,000 pounds heavier, the K-4 was NOT an F model, but an upgraded G-model that tried to standardize the changes that happened in the various dash number G-series planes.. Many references will verify that.
The G and K did NOT have good characteristics in the landing pattern, but the top numbers were quite good if one could overlook the faults of the airframe that were never corrected. Most of the expert pilots were quite used to the 109 by the time the G and K came out and were not handicapped by the faults as were the novices ... the experts were used to the beast and knew it's every nuance. There is a great advantage to being used to your mount when some of the numbers are VERY good. Familiarity can instill confidence that is hard to overcome.
THe Bf 109 was a flawed chariot by mid-1944 (not alone there), but remained very dangerous in the hands of a pilot familiar with it to the end ... much more so than the Zero ever did. The thing is, the top guys WERE familiar with their mounts and the inexperienced guys probably didn't fly enough to get that way ... experience helped a LOT.