The acceleration, by the numbers, just isn't that great. Those planes accelerate at far less than 1G in addition to gravity that is only 1G when you go straight down. Even if your plane does accelerate faster than the other, the major factor in both is gravity which is the same for both. The pull-away isn't one stopped and the other dropped which would still allow for shots.
You need some initial angular separation or a surprise maneuver to create that like Robert S. Johnson had done in his mock 'combat' with the Spit. He out-rolled the Spit and broke, by the time Spit pilot got back on his trail he had distance and speed to pull a reversal while the Spit pilot still hadn't figured out what was happening let alone be ready to respond.
If you want to start a dive real fast, roll over and use your lift as it is the most powerful force you command in a WWII fighter. If you have the speed to pull 6G's then your biggest problem may be avoiding lawn darting. A follower that doesn't roll with you will overshoot and never catch up if you manage to not crash. Just hope you don't get shot to bits in the setup!
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