I'm pretty sure police drivers training is much different from what they'd teach at a HPDE course. Easing into the corner loads your ourside suspension, which is why it's important to be smooth. If you are jerky then the weight doesn't transition and your outside wheels have lower normal force, which makes it easy for them to lose grip. Once the weight does transition though, your outside tires get loaded and as long as you aren't past the limits, this loading/additional normal force will allow them to grip again, which is probably why you feel that happening.
It's different from how VDC feels, since VDC is abrupt and pretty obvious when it activates in our cars.
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