Hydrogen is a difficult thing to manage in quantity. Its density is fantastically low, so storing it in gas form requires absurd pressures -- an inherent risk to any vehicle. Storing it in liquid form goes a long way towards solving the density/pressure problem, but now the system must have a full cryogenic process to keep the hydrogen liquified. (Worse yet: over time hydrogen embrittles (https://en.wikipedia.org/wiki/Hydrogen_embrittlement) metals, making storage even more complicated)
This isn't much different than the problems faced by rockets, and it's why liquid hydrogen is not considered a 'storable propellant' for long-duration flight.
In a zero-net-carbon economy, residual demand for high power density may still have to be filled by some kind of bio-derived or synthetic hydrocarbon.