Like for EV charging I assume it's a basic requirement, you simply wouldn't buy a car that didn't let you adjust the charging schedule based on cost.
But what about... Freezers? Maybe there are scenarios where your freezer could drop 20° below its usual temp while prices are low, and thereby avoid running the compressor for several hours while prices are high.
What about a tumble dryer button that says "these clothes are fine to stay wet for up to 8 hours, dry them at the cheapest moment during that window"?
TBH I doubt these things would really pay for themselves but as a consumer I'd still be tempted by the "lol, neat" factor.
Also I assume the local-LLM heads are already finding ways to have their agents do useful work while the GPU can churn tokens for almost-free.
Also makes me think of fun Home Assistant workflows. Like, "when energy is expensive, just try to keep the house between 16-26°. When energy approaches free, I want to live at exactly 20°". (I assume heat pumps also have ways to take advantage of this in more roundabout ways).