My goodness, people still think "phantom braking" is solely related to the car in front of them, or detecting obstacles? Got news for y'all... it's way more than that.
I haven't observed anything that could be described as a false-detection phantom braking event in months. That is to say: in the very few phantom braking events I've had - as a very heavy AP user - none of them are related to something that wasn't there. I could identify the cause of every one of them - either by looking on the screen and seeing it picking up the wrong lead vehicle, or knowing what's happening to the lanes to cause it to also do so.
If you're not overwhelmed by cursing at the "phantom braking", take a quick look at the visualization screen when it happens. I can almost guarantee you'll find the wrong lead car highlighted in a darker color. Probably in an adjacent lane. It thinks that lane is merging and the car next to you needs to be let-in.
If it's not that, look at the new speed limit and speed setting. Another leading cause of braking is sudden changes to speed limits in irrational places, mostly due to bad map data or bad lane information. It could be thinking you've entered an offramp lane, so it's suddenly decelerating for an exit that you're not taking.
Finally, if you have the "stop light recognition" feature enabled, it slams on the brakes (I kid; it "decelerates unexpectedly" more aptly) for every gosh freakin dang sign-with-a-light-on-it that exists on a road. It's incredibly frustrating. I turned off "stop light recognition" pretty recently because I got so tired of grazing the accelerator through every predicted upcoming flashing-light I know of. The dang thing has "oooo, shiney" ADHD like mad. Not a good look. There's no practical reason for it to do that, yet... here we are. So, turn that off, in my opinion.
That said, my issue and observation with AP (and TACC by relation) is that following-car distance has completely turned to crap. It'll ram full speed into stopped cars and brake hard at the last seconds (harder than max regen, meaning it applies friction brakes to stop in time - all on AP). It'll lag behind the lead car in accelerating, like it's drunk or distracted. Overall, left to its own devices, AP/TACC feels drunk/distracted now - and that's a recent phenomenon. I also can no longer see 2 cars ahead on the visualization - a limitation that vision would have (without persistence), but that wasn't true with radar.
I also don't see
dancing cars anymore, but that's probably an effect of going "video" with the whole AP stack. It now has a basic understanding of object permanence - but strangely, to not see 2 cars ahead... it doesn't? I dunno. I'm confused a bit. But these new "drunken AP" problems seem to be a recent thing coinciding with the "remove the radar" push. So... I dunno. Maybe not "pure vision" technically, but heavily influenced, I'd wager. They just haven't gloated about it because it's still not "technically" radar-deleted.
FWIW: I'm HW3 on a 2018 Model 3, with FSD. I have no idea how HW2.5 cars differ, but while I had HW2.5, I noticed things getting ... laggier, and feeling like the system is struggling with FPS. It's coming around again, possibly because of all the "shadow experiments" they've got running.