The point is that a very mundane setup with small storage is nearly enough to create a flat baseload of electricity.

We both know that neither supply nor demand is that flat.

In reality we can also trivially add wind power, existing hydro, gas turbines ran on carbon neutral fuel etc. to the mix.

How will you force this house that is self-sufficient 97% of the time to buy extremely expensive nuclear powered electricity to not crater the capacity factor of the nuclear plant?