But you do need an alpine lake, with another body of water down below it to collect that water so it can be pumped back into the upper reservoir. The geography needed to built pumped storage is very specific. Simply saying that we can just build dozens of terawatt hours of pumped hydro is as nonsensical as saying we can just build more dams. Is that really so earth shattering to your world view?

You claimed that chemical storage is always necessary to pump municipal fresh water with VRE. I pointed out that this a perfect example of a dispatchable load because it is frequently already done with reservoirs and water towers and you had a tantrum and tried to straw man that as claiming all generation be backed by PHES.

Reservoir towers don't hold nearly enough water to be viable energy stores. You need a big alpine lake like this: https://en.m.wikipedia.org/wiki/Turlough_Hill

And you need a reservoir down below to receive the water as it passes through turbines otherwise you're waiting for rainfall to fill that upper reservoir up naturally.

The geographic conditions to make pumped hydro are far more constrained than you seem to think. Most water reservoirs for municipal water supplies don't have the elevation drop to be used for generation and they don't have the lower reservoir to capture and feed water back into the upper reservoir.

By some bizarre coincidence they hold exactly enough energy to move the water down the hill to its destination at the pressure specified whenthe tower was built. So weird how that happens. Almost as if heating and transporting water have been trivially dispatchable loads for centuries before electricity was used to do them at all.