Locals, myself included still refer to it as the Tap, really not a political thing as much as a sense of place and identity. That stretch of river since the dutch settlement days was referred to as the Tappan Zee notating the widest segment of the Hudson. My understanding is the term is a mashup of Dutch and native Lenape language even predating European settlement. There are definitely a few on one particular side of the political spectrum who view it as a political thing but the rejection truly seems bi-partisan.