I live in NYC; our older child went through the DoE Pre-K program. The teachers were great and fun, but there was so much emphasis on things like "pre-literacy" and attempts to make it into a curriculum-based education (masked in a Reggio Emilia philosophy of "playing to learn" -- it was like bad improv -- "what do you kids want to learn about" -- "did I hear someone say insects? What do you know, we have an insect unit all ready to go!"). We got negative feedback from the teachers and administrators about keeping our kids home when we could -- "they won't understand what's happening to the project they started on Wednesday if they don't come in on Friday".
It was because of that that it was a negative experience -- this article nails it. It should just be childcare, which is great and necessary across all income levels! We are lucky enough to be able to afford a non-DoE program for our second child, and we were much happier with that.