That's actually a dubious claim, given how much fossil fuels are needed in the mining and production of battery related materials. Same is true of battery recycling. It also needs significant amounts of fossil fuels.

But the main point is that the alternatives, such as e-fuels or hydrogen, require nearly zero fossil fuels or problematic raw materials. Even steel can be made from hydrogen-based reduction instead of needing fossil fuels. So it is a massive improvement over BEVs, in a way that BEVs probably can never hope to match.

The ideal solution will always be getting rid of the car entirely. We should always be pushing all alternatives. But we should not be trapped in the "EV now!" mentality for the car itself. It is not really solving any problem except for a minor reduction in oil consumption.