They are counting on lithium-ion batteries becoming dramatically cheaper at scale due to increasing demand for electric cars.
There's an entire agency/thinktank/R&D center working on this stuff, NREL: https://www.nrel.gov/analysis/storage-futures.html (or shorter summary: https://www.nrel.gov/docs/fy22osti/81779.pdf). They do a lot of good work, but sadly no one really listens to them, either policymakers or the public :(
Nukes are not just unpopular, they are also way, way, way more expensive than favored methods.
That time will arrive after we have brought enough renewable generating capacity online that storage would not need to be charged by burning fossil fuel.
What we can be certain of is that Energy Vault (ERGV) investors who get out last will lose badly.
Small to medium investors and companies are trying to tackle it at the locality level (Tesla, small utility experiments, etc.), but there are no national or international movements to solve this issue wholesale. And until it is solved, adding more renewable production without storage to an already-capped grid doesn't really help the issue; in fact it worsens it by creating huge peaks and valleys in power production that are then compensated for by fossil fuel peaker plants (because nuclear can't ramp up and down that quickly). California is the example of this.
At the end of the day renewables vs nuclear is a false dilemma. The actual issue is future livability vs present-day profit, and the latter always wins in our political economy. We need vision and political will to get us there, way more investment in both renewables and nuclear, on the timescale of years, not decades, with nuclear providing a band-aid while R&D on storage increases several orders of magnitude.
It's the sort of problem that the private sector cannot easily solve; it would take mass national and international collaboration, or perhaps an arms race.
Getting the lithium and cobalt infrastructure up to scale takes time and has a lot of geopolitical considerations. It's not impossible but also far from trivial. It's not just a matter of throwing up more panels and turbines and calling it a day.
Unless we can solve storage at scale, generation at night will continue to be an issue, and nuclear is the least climatically damaging way to do that in the interim.