I winterize with the pink stuff. However much pink stuff gets into the black tank while I am flushing out the toilet line and toilet sprayer, plus whatever overflows when I fill the P trap of the bathroom sink and flush the sink lines, which drains into the black tank, is all my black tank gets. Same with the gray tank. Whatever overflows from the kitchen P trap and the shower P trap is all the gray tank gets.
That said, what does damage is ice expanding that has filled a line, breaking the line. As long as you drained the tanks so they are not full, when they freeze, there is room for the ice to expand without doing damage. It is far more important to be sure there is SOME fluid, even water, to keep the seals from drying out. If you drain the fresh tank, black tank, gray tank, and water heater you are good for winterizing those particular items. It is the water lines that you need to worry about.