Exactly, they can deny, but they probably won’t. The power of greed 🙂
I also wouldn’t be surprised if paying with cash for things is a lot more “accepted” in NY than in other parts of the US. Lots of foreign-born people here that either may not have working CC’s, or are just used to paying cash.
When I was in Poland a few years ago, I needed to make a 7 am flight out of Warsaw. I could either take a train and stay overnight in Warsaw or catch the 5 am air shuttle to Warsaw. I went to the LOT airline office in the city I was staying and paid about $50 cash for the ticket for the next day. There was a whole line of people buying tix with cash ahead of me, no big deal.
The process was as quick and painless as buying a commuter train ticket in the US. (I think they’re generally less concerned about safety and security — we ended up boarding the plane when the engine on the opposite side was already spinning!)