Every time I've been in a car with someone who routinely complains about their AEB its no wonder why the system is constantly "falsely triggering". I try to not ride with those people again.
Depends on infrastructure and traffic conditions. My commute includes several on and off ramps that are routinely backed up somewhere between several blocks and several miles. If you are in line for the ramp, you can choose to A) maintain a gap no larger than one car-length between yourself and the car ahead of you or B) attempt to maintain a larger gap, only to have it immediately filled by people who were too important to join the back of the queue. In this case you are back to less than a one car-length gap, and the only thing you've accomplished is to annoy the people behind you by making space for queue jumpers. (You can of course repeat option B as many times as you like, until cars in queue behind you also start going around. I assume the end game is that you end up parked on the sidewalk or shoulder as traffic streams by.)
I drive a Honda instead of a Tesla, but I have automatic emergency braking. I will say I've had it false trigger on completely empty and clear highway on several occasions, but any tap on the accelerator or brake will give me control.
I've had it beep at me while I was stopping behind vehicles before a handful of times, but it doesn't try to override me if I'm intentionally braking. There wasn't any actual threat of accident there anyway.
I have the same experience in my honda. I've had it get ghost braking a few times, particularly when the highway is weird and there's temporary barriers.
But for the blinking BRAKE thing, I've almost completely gotten rid of that by just not following so closely. Now I can also regen brake more and I get better mileage.
Every time I've been in a car with someone who routinely complains about their AEB its no wonder why the system is constantly "falsely triggering". I try to not ride with those people again.