All in all, perhaps we'll see your idea in a hundred years, if we can avoid civilizational collapse due to climate change, the oil is all gone, there's still a need for hydrocarbons that goes beyond hobbies, and there's still available coal, and people still think it's okay to burn it.
I agree with most of your points about 'synthesizing fuels from electrolytic H2'.
The random thought is more a hunch that things we do to create 'green' energy will result in uses that are very much not green, but rather cheap.
I suspect we will see electrolytic hydrogen replacing fossil derived hydrogen by virtue of being cheaper. This won't be because of electrolyzers connected to the grid, but rather directly connected to PV sources, to use capacity which would otherwise be 'curtailed' because of insufficient grid capacity.
IMHO it is quickly getting to the point where oversized PV systems with curtailment make more sense than matched PV systems with energy storage, because the PV itself is so cheap. This is analogous to the DC:AC ratio of a normal system, but writ large.
Well if you have excess PV capacity not being utilized, someone will look for ways to use it. It might be bitcoin (uggggh) or it might me electrolyzers. The RT efficiency won't be there, but the H2 has value.
Once you have cheap H2 in the above scenario, you are going to find schemes to use it.
Jon