Since, as of today, electriciry cannot be stored, but is consumed the moment it is generated, we have all those problems. Base and peak load, PV and wind being less (not completely unusable as real life data shows) in line with eletricity consumption... The list goes on. And that fact is part of the reason why prices are going haywire.

Electricity isn't stored, it is consumed.

I think you might not understand how a gravity battery works. You use the electricity to move water from a low basing up a mountain to a high basin. You then release that water and have it run through turbines to regenerate (a significant part of) the electricity you used to pump the water up. You don't store electricity, you store energy.

Oh, we call those things Pumpspeicher. Sure, and just how mucj of the total produced and consumed electricity is stored that way? The amount is negligible and the theoretical capacity limited.

Also remember that there is a limited supply of single-use, liquid battery that was pre-charged long ago, but unfortunately it's exhaust is hopelessly harmful.

What are you talking about? Gravity batteries are literally two lakes at different heights, connected with pipes. You pump water up when you have an electricity surplus, and let it drain down through turbines when you need power. They're about as far opposite from "single use" as you can get =)