I get the feeling that this "hyper-local" mentality contributed to NYC and surrounding areas being caught flat-footed by the first-of-season snowfall at the end of last year. I have little understanding of meteorology, but it was clear, just from the forecast maps, that a small change in the location and timing of the rain/snow line would make a big difference to the outcome, and that something more than was forecast was a distinct possibility.
As with many things, having a little understanding of the big picture can help you get more out of weather forecasts.