The point you appear to miss is that it works and can be easily distributed across a nation cheaply and robustly.

Single massive peaker plants Vs. many smaller battery parks and pumped hydro nodes.

It depends upon the population distributions, topologies, power grid, etc.

Adelaide is a state capital with massive battery banks and large amounts of renewable energy, they have long periods of self suffiency and export excess power to neighbouring states.

This is dull power infrastructure engineering reality, not woo woo imaginary hype.