https://www.nytimes.com/2017/07/24/nyregion/with-new-vacuums...
So it's frankly absurd of the commenter to say that just 4-5 people could manage this task. One manager mentioned in the article leads a team of 300(!) cleaners.
But where the people are, the stations, they don't keep them clean. That's what the commenter was refering to.
The stations don't stay clean because they move millions of people per day, not all of whom are clean. Today I saw a kid throwing up on her way into the station; she and her mother were somehow polite enough to pause above a drain to do so. Combine that with people tracking upstairs dirt in, and littering, intentional and accidental (I dropped a candy wrapper while getting my kid home; I'm not stopping to pick it up mid-tantrum), and you've got a pretty messy situation.
"In terms of cleanliness, which is also an issue of public health - why doesn't MTA have a dedicated crew of 4 or 5 people with a power washer, soap and squeegees to move methodically through each station, working on the weekends or overnight? "
Can't have it, because the MTA is not in the moving-people-business, they are in the wealth-transfer-business.