There is a link between max range and NEZ range, for a booster technology.
(ie comparing single impulse booster missiles with similar one, comparing dual pulse booster missile to same tech, comparing stato engine missile with same tech)
Why do you think I implicitly mentioned " just for the sake of generalization " and " majority of WVRAAMs " and " majority of BVRAAMs " ?
Just for the sake of generalization majority of WVRAAMs have much better NEZ than majority of BVRAAMs.
FYI NEZ is the volume of space within which the missile has enough kinematic energy to intercept the target irrespective of any evasive maneuver the target does to escape the missile.
In the case with majority of WVRAAMs , the moment it is launched, it is within the NEZ of the said WVRAAMs . Hence kinematic energy is more within the NEZ volume.
In the case of majority of BVRAAMs , they are launched much outside the NEZ of the said BVRAAMs. It has to travel a lot of distance before it manages to bring the target within its NEZ. Hence kinematic energy decreases by the time it brings the target within its now reduced NEZ.
The reason why I said majority of BVRAAMs is because there are certain exceptions.
BVRAAMs with certain propulsion technologies are able to retain / generate kinematic energy either during end game / throughout its flight envelope.
1. Dual pulse motors , they have boost-coast-boost phase , after launch ie first pulse is fired ( boost ) they can coast unpowered for a considerable distance and during terminal phase ( ie within its NEZ envelope provided they manage to bring the target in ) they fire the second pulse to generate enough kinematic energy ( boost ) to engage in end game maneuvers with the target.
2. Throttleable thrust motors eg solid fuel ducted ramjet , they can be for the sake of simplicity considered to be all the way powered thrust , but not exactly . They basically can provide on demand thrust and at the desired level. So they retain and produce desired surge of thrust at any point of its flight path. Hence it's kinematic energy is maintained at a desired level and importantly peaks on demand at any point of its flight time.
Say at 150 km range
Kinematic energy levels for BVRAAMs with propulsion based on SFDRs > dual pulse motor > single motor
Hence at 150 km range
NEZ for BVRAAMs with propulsion based on SFDRs > dual pulse motor > single motor
And as I said earlier higher range has no direct correlation with higher NEZ . Rather it is the kinematic energy which plays a role in determining higher NEZ.