CO2-extraction takes energy though, quite a lot of it. Using energy from fossil fuel for CO2-extraction is worse than doing nothing, since you're never going to

CO2-extraction takes energy though, quite a lot of it. Using energy from fossil fuel for CO2-extraction is worse than doing nothing, since you're never going to extract as much CO2 as is emitted by the power plant. That leaves using clean energy, but clean energy is a limited resource. Using clean energy to replace current uses of CO2-emitting energy is likely going to be more effective than using it to extract the emitted CO2 back out of the atmosphere.