Going back to the original post the you need 4 things for a successful air to air rocket.
1 Velocity
2 Range
3 Accuracy
4 Destructive power.
Velocities, for the 3 rockets we have the following
German R4M....................525m/s
American HVAR..............420m/s
British RP-3......................230m/s
Ranges for Air to AIr are going to be a lot shorter than air to ground.
How far can the target aircraft move in time it takes for the rocket to get to the target?
230m/s is 515mph/828kph. A 250mph bomber is going fly 1 meter for every 2 meters the slow rocket travels........except................the rockets slow down. The old rockets had a burn time of just a few seconds (if that) then they coasted. The American HVAR is going go around 4 meters for every 1 meter the target aircraft moves. faster aircraft are going to be a real problem. German rockets flew roughly the same trajectory as the 30mm MK 108 gun so they could use their gun sights. British and American pilots are going to need a lot of guess work. Rockets coasting have more drag that cannon shells and slow down faster.
Accuracy, how far with rockets veer off course or how many rockets will stay inside of a 3-4 meter circle at 300 meters (or what ever distance you chose). These rockets were not very accurate by this measure and that is why they often fired a lot them. Having only 6-10 rockets means a poor chance of getting a hit with one rocket, Especially if they ripple fire them.
Destructive power, Yes if you hit a plane with 50+/60lb HE warhead you are going to destroy it
The early postwar 2.75in FFAR had a speed of about 600m/s and they spent a lot of time and effort working on fire control computers (fancy gun sights) that would allow for ring from the side or forward arc of the bombers instead of tail chase because the rockets were not fast enough the catch bombers before their fuel/momentum ran out unless they were fried from very close (within range of cannon on the bombers).