Unfortunately, that assumes producing those synthetic fuels has no carbon output other than the fuel itself.
„Fossil“ is the actually bad property of these fuels.
Having a huge supply chain for corn also drives innovation and scale in that industry, should corn become rare because of a drought, it would be relatively straightforward to redirect the corn supply into food.
When watching the video, what struck me as absurd is more the energy waste from meat production.
(The downside I must mention is that high capital cost low utilization low running cost => still high cost)
The USN have a solution in their back pocket: https://www.zmescience.com/research/us-navy-synthetic-jet-fu... , presumably for at-sea refuelling using surplus energy from the reactors of carriers.