But this way is carbon neutral. Every CO2 molecule you pump out, started out as a CO2 molecule you took from the air. There is no reason to dislike fossil fuels, if they no longer come from fossils. It's the releasing of carbon from millions of years ago that's creating the excess.
Capturing CO2 is not ‘energy cheap’ and therefore it is best when and where possible much of what we start capturing to rid it from the carbon cycle rather than re-introduce it.