Why does JetBlue cancel flights and lie about the reason?

My flight to JFK leaving at 4pm was cancelled due to bad weather in New York. The inbound plane got in on time, and there is no bad weather in the forecast till late tonight, till hours after my flight was supposed to land. Plus all other airlines have plenty of flights going into and out of JFK today and are on time, so I know they’re lying. But why would they lie. Because of this lie, JetBlue couldn’t get me onto another flight to nyc till Wednesday, and I had to pay over a thousand dollars on another airline for a flight tomorrow morning, and I have to book a hotel. I am absolutely fuming and I will most likely never fly this stupid airline again