Unfortunately, enforcing this will probably only happen if someone with standing files a lawsuit. I doubt many music labels that hold the relevant copyrights are interested in suing the cops.
[1] damages normally start much lower, but the performance of the copyright protected work is patently willful
For example, if a romcom rips off some music I created can I sue Ben Affleck because he appeared in it? I doubt it. I especially doubt it if he didn't want to be in the film.
I wonder how the members of Sublime feel about this.
https://en.wikipedia.org/wiki/April_29,_1992_(Miami)
TLDR : Sublime is about as "anti-cop" as you can get.
The person making the video 'without critique or educational purpose' is probably in violation, hence the take down.
A label would never sue the cops first and foremost because they have no standing.
And for that purpose, it doesn't matter whether it was a public performance or not. I can make a video of me sitting in a chair with a copyrighted song playing in the background, and it will get taken down. Hardly what I would call a "public performance".
If the rights are held by a major label, then they don't care a single thing about the artist's permission. For example, a few years ago or so, Madeon's soundcloud account (a big EDM artists) got a bunch of his own songs removed due to the label being the one actually holding the rights. The artist himself was pretty pissed about this.
But if the rights are held by the artists or by a small independent label, then they get to give out the permission.