"Overall" - no, there are too many crappy places to eat in Syracuse for that to be the case.
I will grant you that there are some terrific food places in Syracuse (I say places, because they incorporates food stands/diners like Heid's, and local hole-in-the-wall places like Eva's in Solvay). Most of the best places in Syracuse are non-chain Italian places.
But the "overall" quality of food is much better in NYC, which is probably the food capital of the world. Nearly all the ethnic food is by recent immigrants, so it's not just variety, it's authentic. It's on the ocean, so you get great fresh seafood, which you can't get in Syracuse, it's all been trucked in here from Boston or New York. Sushi in NYC is far, far better than Syracuse, pretty much anywhere you go. Syracuse only has a couple places where it's decent; none compare to NYC's average places.