No, that makes no sense at all. You might as well say you sweat/piss out half as much water as you drink. No: all of it.

You have two things that burn fuel and produce CO2. Thing A burns fuel, its CO2 isn't released but captured. That captured CO2 fuel is then burned at Thing B and released. Half. (if you assume the energy from reprocessing the CO2 into fuel doesn't produce Co2 itself and comes from clean sources)

X tons mined carbon in, X tons atmospheric carbon out. What you do with it on the way doesn't matter. What matters is purely carbon in the atmosphere.

The only thing that does make a difference is if you succeed in getting the carbon back into the ground.