I'm sorry. I've been resisting the urge to Ackshually this, but I can no longer hold out. I grew up less than a half mile from the Bronx-Westchester border, and nobody thinks of the Bronx River or the Parkway as the border between the City and Westchester. The parkway runs north south and for slightly more than a half mile does effectively separate the Bronx and Westchester with Westchester to the West and the Bronx to the East.
But overall, the border between the Bronx and Westchester is nearly 8 miles long, and almost entirely on an East West axis such that Westchester is non-controversially north of the city. Yonkers, Mount Vernon, Pelham and all other further cities, towns and villages in Westchester are all north of the city. The stadium in Mount Vernon is due north of the closest point to the Bronx. If you traveled due west from the stadium you would briefly cross into the Bronx but without crossing the river or parkway, and then if you did cross the Bronx River Parkway you would ironically end up back in Westchester. because the primary axis of the Bronx-Westchester border runs east to west and splits north from south.
Naming the game after a barely half-mile east-west division of a north-south border is not something that anyone who lives near that border in Yonkers, Riverdale, Edenwald, Pehham Park, Pelham, Mount Vernon, or Wakefield would ever do. Because Westchester is north of the Bronx, and the small bulge of the Wakefield section of the Bronx that pushes into Mount Vernon is an anomaly, where taxes, street names, governance, and even traffic rules such as right-on-red often change mid-block. It's the weird exception, not the norm.
With that out of my system: call it whatever you want and enjoy. I don't really care, but I feel better now having gotten that out. Names don't have to make sense.