Tesla (but my hardware is a few years old) doesn't react to car pulling into lane until it has significantly intruded ... and then works hard to preserve the "follow distance" gap (interval), generally resulting in friction brakes (or my feathering with throttle and, safely, using up some of the gap ... but no doubt flashing brake lights in the process ...)
Whilst I'm feathering with throttle I am overriding AutoPilot, so car won't slow down if I failed to notice something happening (no idea about actual AEB - perhaps that would come on once an accident was inevitable, even if I had foot on throttle? but in general I would prefer that AutoPilot was doing all the things it is supposed to, without encouraging me to intercede just because I think the car isn't being Eco enough ...)
So I'd prefer that Tesla did a more Eco job and consumed some follow-space to allow slowing down on Regen alone, when possible. Maybe newer models are capable of that ..
Maybe iPace does a better job?
The ACC I had in VW was far, far worse. Haired up behind a car and leapt on the brakes. And that was the BlueMotion Eco model for gawd sake ...