This is just an incorrect description of the ruling in Carpenter v. US. The core of the ruling is that the third-party doctrine doesn't apply to cell phone location data. The ruling was a very narrow one and did not affect other methods of monitoring.
https://en.wikipedia.org/wiki/Carpenter_v._United_States
> The Supreme Court's ruling in Carpenter was narrow and did not otherwise change the third-party doctrine related to other business records that might incidentally reveal location information, nor did it overrule prior decisions concerning conventional surveillance techniques and tools such as security cameras.
You're trying to expand the scope of the decision on Carpenter to encompasses video cameras, or location tracking in general, but that is not true.
> The quote that you're responding to literally says "What matters is that LE is conducting fourth amendment searches using that data".
No, it does not. It says that public activity may be protected, not that it is protected. And you're conveniently ignoring the fact that this decision was narrowly scoped to the context of phone location data.
> if the cops are searching a persistent database which monitors and tracks people over time, it is a 4A issue.
Carpenter only established this in the context of phone location information. You're inventing your own decision when you try to expand this to public facing cameras.