The point is opus, people think both the planes are 'close to compression speed', which in fact, is rarely ever so. Typically in the sort of claims discussed above, people tend to over exaggerate their own speed, and under exaggerate the chaser's speed.
They say something like "bullshi* how can a Niki turn 180d and catch me when I was doing 500mph?" - when in fact it's more like just passing 400mph for the P-51D and the N1K2 is already very high in speed from an alt/speed advantage he tried to hide.
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Ofcourse, one factor to consider is that AH 'guns range' is lethal to a lot further out, than shown on that diagram Batz posted.
Unless one is pretty lucky, that maneuver is pretty difficult to execute perfectly. With the right timing I can land behind the enemy as close as 400yards, but usually with my skill it's pretty unlikely to land any closer than that. But ofcourse, since it's not all that difficult to kill something between 400~600yards in AH, if you time it right you get something like 2~3 seconds of firing opportunity until the target in front of you pushes further away to outside 1.0k.