One thing that stood out to me is that in the case of thermal loads (perhaps your dishwasher but more realistically a hotwater heater). It will become more worthwhile for that system to know when high and low electricity prices are and store more heat (i.e. hotwater) at low electricity prices and wait until prices fall again to refill it. In this sense, a heater would be operating like a battery.
In a world where energy prices are stable throughout the day, it doesn't make sense to manufacture, for example, a price aware water heater with extra storage capacity. It seems like that calculus is changing with solar and other renewables creating an incentive for variable rates compared to traditional fixed rate alternatives.