I don’t disagree with you in general, but:
> Presumably, the cops are aware of previous disruption with these specific devices, or threats thereof. And it's not like they're going to say exactly what, nor should they, lest it give people ideas...
I don’t think this is necessarily true. The TSA bans all sorts of crap solely because they feel like it, and not in the name of any kind of actual security. It is entirely possible that the NYPD “heard” these terms in media and got spooked, so here we are.
I don't think the NYPD thinks "beach balls" or "large items that could obstruct views" or "flipper zeros" are spooky or scary. I think they think they're potential annoyances in a large crowd.