@Kaitty123,
I am not certain of the process with beets, but with cane, the material must first be milled and then boiled in water and then the water reduced until the product is dry... With maple syrup, boiling is also done, and since I live where that is much done, in Michigan I have often asked people why freezing is not use preliminary to the final reduction and sterilization of the product...As you may know, sugar is heavier than water and settles out of it, and when maple sugar was first discovered by the Europeans, the Natives were using that process... Since the sap is gathered when the weather is going from freezing to thawing anyway, the amount of energy required to bring the sap to the freezing point would be small, and then when the product freezes the ice at the top could be tossed as it was by the Natives...