But pumped hydro schemes are targeted at frequent charge / release cycles (like once a day). I think what the post you answered to you pointed out is that Hydrogen could be used as long-term storage (storing overproduction from summer to be consumed in winter). This is where batteries are maybe not the best way forward.
I have not looked too deeply into Hydrogen myself, but even this [0] fairly critical post classes longterm storage as a B (scale A: very good, G: absurd). Even though there is other alternatives that are mentioned.
[0] https://www.linkedin.com/pulse/clean-hydrogen-ladder-v40-mic...