They don't have to make a special run, other than labels. If they pull the usual fresh distillate that would ordinarily go into barrels, guess what? It's white dog.
im guessing they arent bottling by hand which means it costs money to change over the machines from bottling the regular whiskey....plus being they are smaller runs the set up and getting the labels printed costs more.....all that changing over of the bottling machines takes time and time costs money, and short "novelty" runs wind up costing more money even if the actual product itself costs less....your hoping the novelty off sets the lack of disire for the customer to pay more....
i run a print shop and small lil things that dont mean much to you or that you think in theory should cost less actually wind up driving up the cost because they add time and more time means more money....
i know the "White Dog" is actually itself cheaper cause its coming right out of the distiller and your skipping the aging step so in theory it should cost less and if you show up and ask them to fill up YOUR bottle straight out of the tub coming off the distiller than i agree with you, it should be a cheaper product......but im pretty positive the short novelty run of bottling up a batch actually wound up driving up the price due to the low over all volume of product....