uh bino, talking recent decade here, not nam.
i don't believe i'm overestimating anything. radar guided missiles in the 60s and 70s were "short range" missiles and were shown to be ineffective against fast moving aerial targets. you definately had to be within "visual range" to even fire the things and i think a microwave burst could send it off track. heat seekers had shorter targeting ranges, even after infrared was added but within operational limits, very effective. within the last 20 years or so, aim's have gotten a lot more sophisticated and multi-purpose, to the point of being useful against certain types of ground targets if the need arises.
Sparrows were BVR and the AN/APQ-120 in the F-4Es I maintained could auto-magically track a target to 50 miles.
Closing velocity had to be less than 2700 mph <not all that difficult

> The missiles worked best in the mid-range
as it would have time to react to course changes and yet still had plenty of power and hydraulics.
In fact, the ideal AIM-7 solution wasn't a "hit" at all. The missile was designed to pass close to the target before
exploding, giving the shrapnel time to speed up before impacting the target.
Planar array antenna, electronic beam steering and active terminal missile guidance are indeed recent developments,
and these still do not provide an automatic wish-em-dead solution.