The suggestion is that electricity from PV could be so cheap that generating fuels with electricity could be cheaper, even with the massive inefficiency of it.
It won't be hydrogen, because hydrogen is volumetrically not dense enough, it would likely be something like methanol or methane or maybe, with the right tech breakthrough, longer chains of carbon.
You definitely don't want a nuclear plant generating this, because nuclear is way too expensive. Today, right now, solar energy stored in batteries is cheaper than new nuclear. And every year that price falls further. And most of the energy would never even have to be stored in batteries, and PV is cheaper than operating already-paid-for natural gas generators in most markets right now, (and getting cheaper).
The energy world is being disrupted, but the incumbents aren't paying attention, and most of the US media is devoted to covering it up and discrediting cheaper energy, to benefit incumbent fossil fuel energy companies, the ones buying lots of advertisements.