That link appears to reference industrial carbon capture. I don't see a residential unit there or any claim of 50kg per month. A half acre facility isn't feasible in a residential setting. The site seems to sell carbon offsets (credits) for sequestration, which is nice but isn't residential carbon capture and fuel synthesis.

I just don't see how this is feasible at a residential scale. Certainly not with the convenience of solar plus battery storage.

Carbon capture and fuel synthesis is very exciting technology, especially when combined with solar for load shifting. Generate "clean" fuel from excess sunlight. But even then it doesn't scale as well as direct transmission. Combustion fuels will have to be reserved for those cases that really need the energy density, like aviation. Battery electric is far more practical for self-sufficient personal transportation.