For a few years the Jets had training camp in Cortland, which isn’t far from Binghamton. They probably knew there was a fan base to draw from.
Bandwagoners are everywhere, thus the Pats stuff.
As a Utica area person, I can attest to the fact that much of the fan base here is split between Giants and Bills. I imagine in Binghamton the draw of the New York City teams is stronger.
Also, the college crowd in Binghamton has a large New York City area contingent.