Nuclear has never managed to be cheap. The really big nuclear buildouts always had a national security subsidy: either for energy security (France), or for nuclear weapons (US, UK, USSR, China, and also France). This is partly why non-weaponizable reactor designs never became popular either.
> They obviously don't like that, which is why they keep pushing for hydrogen to keep people dependent.
This isn't quite it. Energy production is always going to be dominated by capital owners because it's a capital-intensive business. Doubly so for renewables. No, the real reason fossil fuel companies keep pushing for hydrogen is so they can sell hydrogen produced from natural gas as "green", after they've dumped the inconvenient carbon atoms into the atmosphere.
The medium term real, important uses for renewable hydrogen are (1) Haber process (3H2 + N2 -> 2HN3) and (2) steel production by reducing (removing oxygen from) raw iron ores.
Edit: btw, I think the underlying paper is https://onlinelibrary.wiley.com/doi/10.1002/cey2.411