The ultimate aim of capturing CO2 from combustion processes is to stabilize then to decrease the concentration of CO2 in the atmosphere, within a few decades. Each quantity of CO2 emitted to the atmosphere will stay there for at least many decades and starts almost immediately to contribute to climate change. In a time when CO2 concentration in the atmosphere is increasing faster and faster, there is no such thing as carbon neutral emissions. The atmosphere is agnostic about CO2. it does not operate according to our wishful thinkings.
Thus, if captured CO2 is converted to a new fuel for combustion processes that will put back the CO2 in atmosphere, it should not be considered for a contest dealing with climate change.
For example, reacting green hydrogen with captured CO2 to make CH4 as a fuel to be burned is not an acceptable solution, even if it earns money.
Only processes that keep the captured carbon away from the atmosphere for at least several decades should be considered.