Earlier quoted context omitted.
Its Also building enough battery capacity to offset the night is doable. UK annual consumption is around 300TWH, let's round to 1TWH a day. The nighttime consumption is about half of the daytime's so only 33% needs to be saved. So we need 350GWH of batteries. It will take a while, cost 35 Billion assuming 100 usd for 1 kwh. Or 2 billion a year or 0.6 cents per KWH of energy consumed.
I don't think you can really quote prices when you are talking about battery capacities on the order of the current world wide lithium battery production. Also, it's interesting that Iceland, with their abundance of geothermal power, don't have an interconnection with Europe. That's only 1000km as the crow flies and yet hasn't been considered economically feasible yet.
As for geothermal, Iceland has geothermal; yes. So do other places. You're talking as if using that as an infinite source of energy is both cheap, feasible, and scalable. It's probably none of those things. Iceland has about 300K people, the UK has around 66M, so we're talking about 220x the energy demand. And running cables across the Atlantic. And doing a lot of infrastructure development in Iceland at the cost of many billions in a market that has energy prices trending down because of other clean energy options. Perhaps that's the reason that it was never really considered as an option.
Regarding the quoted prices, I think for the sake of argument this person was deliberately using numbers that are on the super conservative side. E.g. buying battery at 100$/kwh would probably be a spectacularly bad deal considering prices are already dipping below that (and that's for car batteries). Also, for the sake of argument assuming everything happens right now at today's prices is arguably not how this would play out at all. But as he's argueing, even if you make such assumptions it's still doable. So, it's likely to end up being a good deal cheaper than projected there as this plays out over the next decades as prices for batteries continue to drop and we figure out how to do this at scale.