First of all, I think the word "accident" is crap. It should be called crash in most cases, and crashes are more often than not avoidable. Predominant cause: Driver error. If you glance in the mirror, something might catch your attention there, and if someone cuts in front of you at that very moment, that's when AEB (or the "normal braking" + warning from dynamic cruise) can come in real handy.
Also having Dynamic Cruise might teach you what a proper following distance is; hint, most people have no idea about what 2 seconds gap actually equates to. The DCC distance is typically set in seconds, or at least in the Mazda it is (1,2,3 or 4). Even 1 second is more than most people give, in Melbourne Australia.
Speaking as a 2014 Mazda 3 Astina owner, this tech works. Including if someone cuts in and then slams their brakes. Autonomous braking functions is the biggest safety invention since the Dynamic Stability Control. Try to Google effectiveness of AEB, and it's quite conclusive.
E.g. "The findings showed a 38 percent overall reduction in rear-end crashes for vehicles fitted with AEB compared to a comparison sample of similar vehicles." https://www.researchgate.net/publication/275772651_Effective...
I'm excited by the new Tesla cars extra sensor and autonomous driver tech packages, which includes so many more ways of reading the environment than what my "mere" Mazda 3 radar + cameras offer. If I had the budget, I'd definitely be getting into that.