Similarly, cargo ships can't run on batteries, but could fairly trivially be switched to hydrogen with only minor loss in storage capacity (1-5%).
The benefit of hydrogen is that it was functioning just fine in the 1960s, there aren't any outright technical showstoppers here; just financial problems and technical problems that are hard to solve cheaply.
I'm not saying that hydrogen is the best solution (if synthfuel pans out then it'll be a perfect drop-in replacement for existing jet fuel), but it's a solution that exists today. It's there if we care.
Obviously we don't care, since coal plants are still around, but if we genuinely wanted to stop using fossil fuels ASAP then it would permit us to keep using planes/cargo ships.