You don't need to build a dam, you just need the pipes and pumps for an existing dam (or elevated natural basin).
I thought you needed two dams. One higher than the other. You pump water back and forth between the two to generate or capture energy.
Is it that common that dams are already existing in nearby-ish pairs with the sufficient height difference? And that we haven't done this already?
Doing this is good where we can. But it has geographical limitations. Batteries don't so much.
My layman's understanding is that most locations that are suitable for pumped storage already have pumped storage built on them.
Yep, this is the issue. That and land cost. Also pumped hydro is most useful when you need very large capacity storage, whereas for preventing blackouts you need very high capacity fast generating to fix oscillations or to allow more generating capacity to come on line. They are basically acting as decoupling capacitors (except for AC) in this application.
That equivalent inertia can only be done for short periods but that's exactly what grids need in stability - there's generally no lack of total generation, just a need to jump in and smooth out spikes.
You can't build a dam for that price, nor could you do it in under 100 days from contract signing as that battery was built. Batteries are definitely the answer here. The 'more spinning mass' answers don't make sense since Australia literally solved the above problem in a much cheaper way already.