It's been my experience (~ 4 years ago) that generally taxis were cheaper than Uber in new york, especially for anything like "Get me to the airport", sometimes like $25 cheaper.
In my experience its actually cheaper at least for airport rides. $50 flat through yellowcab app and no surge nor tip when ordered through app compared to $65 at best sometimes well over double during a bad surge.
Airport trips these days are often over $100 for me. What is crazy is yellowcab will take me to my area for $50 flat tip included through their app. We’ve exceeded even taxicabs by this point.