It doesn't really matter. You are still incentivized financially by the insurance company to slam on the brakes to avoid accidents.
> Will fender-benders go up because drivers have been disincentivized against hard stops to the point where they risk tighter and tighter spacing and go too far?
The way this is being interpreted is as if people will respond to an extreme degree to any incentive whatsoever, and they will choose the worst response to that incentive automatically. Your insurance rates will not double because you slammed on the brakes once. And people are probably more likely to learn to drive with better spacing so they don't have to frequently slam on the brakes, as opposed to playing a game of chicken trying to avoid having the insurance system know they once had to press the brake pedal hard once.