"base load" is also a statistical law of nature. Your consumers might want or need to consume your product regardless of the price. I will run my heating before I freeze to death, and I will thaw a meal before I starve. Somebody will switch on their lights in the dead of night. The hospital will run its MRI when an emergency arises.
All these things are rather randomly occuring things, some correlated, some uncorrelated. All these create a "ground noise" of consumption. All these things lead to a need for baseload power, which can only be removed by switching off the grid.