Hi Bill,
The reports I have, including the Me 262 Flugzeug-Handbuch convey that the type was stable even in high speed dives.
As a fellow pilot you are aware of the difficulty in spotting another aircraft even at 5NM.
With a 100mph closure rate we are covering a 5NM separation in about 3.6 minutes. This does not give a pilot much time to locate the target and line up his shot. The 400M is covered in less than 15 seconds.
There is very little time to align/adjust the sight, stabilize the aircraft for the condition of flight, and take the shot.
The problem is not the aircraft. Our pilot and our ability to target is the limitation. This limitation affected everyone and was set by the technology of the day.
None of the CGS's used during the war were very accurate over 400M. This is not to say there were lucky shots or extraordinarily skilled pilots. Dealing in averages though, we are limited to around 400M no matter what weapon or aircraft we are flying.
The difference in the weapons is enough to be noticeable between the M2 and the Mk108 offhand. It makes little difference as we cannot shoot down what we cannot hit because of our sights.
It was probably very similar. However the F-86 has the benefit of radar ranging CGS as well improved algorithms, whereas the WWII CGS was limited to the pilot eyeballing a manual range input.
Happy Holidays!
Crumpp