repeating the digital beacons of everyone else

You can't perfectly mimic everyone else and accomplish something unique at the same time, even if it's something as simple as pulling up a webpage nobody else around is requesting. Your device must in some way identify itself to the network so it can actually receive everything they request, and that's an avenue for identification and tracking.

Not too long ago I was watching a video about a guy that was a 100% match in the eyes of AI as someone that was trespassed by the casino. When the cops showed up and he presented his documents, the cops brought him to the station as they thought he must have given false ID when he was originally trespassed.

Sure, modern AI can't push the limits like I'm talking about, but I'm not talking about doing all this with modern AI as it is now, and things are advancing extremely rapidly. Processing power available is, too, as companies churn out as many new data centers as they can. It might not be as long as we hope before the things I suggest become feasible.

He was eventually able to prove his innocence but the fact he was taken into custody because AI messed up makes me have no issue with people doing stuff to intentionally poison the data.

Yeah, modern AI is trained unethically at just about every step of the process, so poison away.