I think the issue is just basic cleanliness. NYC doesn't have it. There's trash everywhere, so that breeds rats.
It accumulates fast.
Some are emptied on a schedule while others send a signal when they are full. It would also take a similar amount of time to pickup a long street full of rolling steel containers holding around the same amount of trash.
At ~USD 1.70 for one 35L bag people also recycle a lot.
[1] https://www.zh.ch/content/dam/zhweb/bilder-dokumente/themen/...
Seems unlikely that trash is the only source of food for the rat population, too. Or that dumpsters or bins magically keep out the rats from the trash. Rats can be crafty!
Shinjuku: 50000/mi2
Hong Kong island: 91500/mi2
kowloon: 111450/mi2
The point is that Manhattan isn't particularly dense when compared to other world-class cities major population centers, and these other places have solved the problem of trash collection. NYC exceptionalism seems to be the fall-back explanation for why it "can't be done"....but to me it fails under further inspection....literally fails the smell test :)
Finally, you're correct that the trash bins aren't a panacea, but not allowing a literal rat buffet to fester on the sidewalks 3 nights a week is a good first step.
In theory, the city should own the physical fiber and be able to rent it out to anyone who wants to offer last mile service...
NY has simply learned to accept filth.
will take probably 100 years or so