Vested interests
No, honestly I think you have your 'vested interests' backwards.
Take a look at https://gridwatch.co.uk/ and you will see that the UK grid is vastly reliant on gas, because there are long periods (weeks or months) where there is scant power from any renewables. Anyone with a clue (including you) knows that batteries are only good for stabilising the grid as a replacement for spinning inertia. They will never have the TWh scale required to provide bulk-storage. If the wind stops blowing, then batteries allow us to prop up the grid for just long enough to fire up a big gas power plant.
Renewables can never replace oil, gas and coal, but nuclear can, and that is why the oil & gas lobby (which is much more powerful than the nuclear lobby) has got it in for nuclear. They love renewables actually, because it allows them to increase their prices as the supply of oil dwindles.
Thus, renewables support Britain's reliance on gas, the price of which is set by a cartel (the OECD) which includes Russia. The vested interests that I worry about are the ones making billions (Aramco alone is making $15 billion a week at the moment!) from burning a finite resource and replacing it with a greenhouse gas.
Biomass is even worse, we are taking something that actively removes CO2 from the planet - trees, chopping them down and burning them to produce more CO2! It's madness. And don;t get me started on CCS. If you are worried about nuclear accidents, a CCS leak can be just as dangerous, if a cloud of heavier-than-air CO2 settles on a town, it will asphyxiate everyone. It has happened before: https://climateinvestigations.org/co2-pipelines-and-carbon-capture-the-satartia-mississippi-accident-investigation/
But again, Drax is an extremely powerful lobbyist, so it gets away with it.
I'm not sure how those economists come up with their figures, but their cost of storage for example, does not scale. It might be right for the current small amount of storage that we can make, but to make it at a scale which could phase out gas, would mean using more copper and lithium than the entire world market.
The same goes for hydro and pumped hydro: We can't make artificial mountains, so the supply of hydro that we have (enough for about an hour of calm weather with no gas), is already about as much as we will ever have (and it is dwindling due to drought) so it doesn't matter how 'cheap' it is if we can't build more. It's a similar story with geothermal, and I am yet to be convinced on the power capability and storm-robustness of wave power.
But nuclear is easy. Change the rules so that it can be built underground, think of it as an artificial geothermal plant!