Several auto makers have adaptive cruise control/collision avoidance systems that can "see" a sudden deceleration of a vehicle in front of the vehicle in front of itself.
My Toureg does it and it sometimes gets annoying when that loud beep goes off because Nancy missed her exit and hits the brakes!
The Subaru has an absolute hissy fit about vehicles slowing for left turn lanes in front of it. After watching it for a while I believe the Eyesight system sees brake lights get brighter and starts to brake. It then holds on to that vehicle as a lead vehicle even when it has fully changed lanes to the left turn lane. Part of its ability to track the lead vehicle around sharp corners, but it messes with you when in straight lanes and the lead moves over out of it. Takes it a while to release and see the empty lane ahead.
I’ve learned to just stomp on the gas pedal before it brakes too much.
I have tried multiple adaptive cruise controls in rental cars. BMW, MB, Toyota to name a few. I absolutely detest them; they get way to close to the vehicle in front of them. Sure, in theory the radar might be able to see under the car in front of them, but the result is always jerky behavior; or an accident because no automation so far is perfect and the machine did not leave enough room for the human to respond.
Most have a distance setting. Did you use that?
The Subaru has four. They range from:
4. The vehicle ahead is in the next county.
3. Comfortable in stop and go traffic but lane dodgers will jump in front of you.
2. Slightly cringey at speed and braking applications have to be slightly uncomfortable.
1. Tailgating / Why does it even have this?
I use 2 or 3 depending on how much I feel like being tossed around the cabin. LOL. Honestly 3 is great. Very relaxed ride watching morons dart around.
Since it doesn’t understand stop signs or lights unless there’s a car stopped ahead of you there, I’ve noticed I’ve already built a habit of just bumping the speed down to the minimum of 25 as I’m approaching the stop. It decelerates very smoothly and if you wait too long, applies brakes lightly, but with planning you can kinda emulate the “hypermile” people and have it slow consistently and smoothly to 25 without braking and then manually brake to the stop.
If you’re coming up on stopped cars ahead, same deal... just bump the speed down and give it time to acquire the stopped car ahead and it’ll smoothly complete the entire full stop and go into hold mode, holding the brake pedal for you. When the lead car moves, tap either the speed up toggle once with right thumb, or the gas pedal, and it goes back into follow the leader mode.
It’s wild. Can do an entire drive anywhere without touching pedals except when there’s no car ahead at any stop, and parking at the far end.
But yeah. Jerky ride or too close following is possible on most of them if you don’t set the following distance.