Have I missed something? I feel like the NYPD is investigating this the same way they do every murder.
Sure, the media is covering it like crazy, but I haven't seen anything to indicate that the NYPD is doing anything different than their norm. And the NYPD can't exactly control what the news covers.
At worst they've been told, "hey, there's a lot of scrutiny on this one, so give it a little extra attention," but that's not "millions of dollars" they they otherwise wouldn't have spent.
They don't have press conferences, raise the bridges to stop traffic out of the city, put out (this many) ground units to question and collect evidence for every murder in New York. Not by a long shot. The location of the murder and identity of the victim are playing a big factor in this. Because coverage happened, they're responding. If there were 270 news articles written about Non-Descript-Murdered-Citizen #6hey might give it the same attention.
There were 808 murders in New York in 2020. Did you see this response from those deaths, do you recall?
I mean, yes you're correct on all points, but 2020 is a really bad year to pick. They kinda had people dropping dead all over the city to the point of mass graves. Pretty sure that might have stretched the emergency services just a teensy bit.