Comment by Denatonium

The limits of dynamic stability go down drastically when the brakes are locked up. You can be _far_ from the limits of dynamic stability when going around a bend in the road, but if your car locks up the brakes mid-bend, you can unexpectedly go from nowhere close to those limits to exceeding them in the blink of an eye. A human driver would wait until they've straightened out to brake hard, but the computer in a car is entirely at the mercy of whoever programmed it. Hopefully it would do the same, but do you really trust Tesla (or whomever) with their move-fast-and-break-things additude?

Then there's the fact that automatic emergency braking requires the software algorithm to make decisions based on data that is a lot more complex and ambiguous than the data used by electronic stability control and ABS systems. It's much easier to detect steering angle and wheel slippage than it is to detect how an object in the distance is likely to behave.