> What might really suck though is if everyone has one of these in their homes, then the price advantage will go away.
The price advantage may go away. But you would still benefit from it by overall more consistent/lower prices because inflexible (baseline) demand wouldn't drive up prices as much. And there are indirect benefits too. Baseline is mostly supplied by coal and nuclear. Needing less of those has health and environmental benefits which, when translated into $$$ are also non-negligible even if they're not really priced into the system.
If you flatten the demand peaks wouldn't the baseline go up? At the limit where demand fluctuation is taken care of by arbitrage central generation could be constant.
The price advantage may go away. But you would still benefit from it by overall more consistent/lower prices because inflexible (baseline) demand wouldn't drive up prices as much. And there are indirect benefits too. Baseline is mostly supplied by coal and nuclear. Needing less of those has health and environmental benefits which, when translated into $$$ are also non-negligible even if they're not really priced into the system.
Indeed not a bad problem to have.