A few industrial users can weather changes in supply, with notice of the expected price in advance.
The aluminium smelter can heat to x+250°, let things cool to x° while people cook their evening meal, then heat up again afterwards.
A large supermarket chain can set their refrigerators to 5°, but by allowing the range to move between 3° and 7° can save significant power. (One of the big British supermarkets already does this.)