At least at the sugar plants I am aware of in Colorado, beets were not crushed into pulp. They were put through a slicer that cut them into “cossettes” that resembled French fries but with a triangular cross-section. They then went through various cooking and centrifugal processes to extract the sugar. At each stage the result was some form of liquid with more or less sugar content. I haven’t heard of any of the juices being shipped to other places outside the originating sugar factory. They did ship molasses in tank cars as it was considered to be a waste product. The remains of the beets came out as a pulp but that was a result of the refining process, not any initial crushing like with sugar cane.