Interesting that this doesn't primarily use fuel cells[0] (which is what hydrogen-electric aviation usually proposes to use), but directly combusts the hydrogen to run a traditional jet engine. There was a Soviet Union airliner that did this, so it definitely works, although I'm skeptical that hydrogen makes sense as an aviation fuel because jet fuel is much more convenient (easier to transport, store, and handle, an…
Fuel cells are too heavy, at least for the time being. Other than biofuels or synfuels, there's basically no alternatives. Aviation companies will have to pick one of those fuels.
But actually, batteries are better than people think. 1000km battery-electric range is feasible with current chemistries, and ~3000-5000km is feasible with metal-anode, maybe lithium-sulfur or other advanced chemistries plus extremely high performance structures and aerodynamics. Lithium-air batteries with these improvements could enable >10,000km flights.