Carbon capture technology would have to artificially replicate these millions-of-years-long processes, and do it on a scale of years to decades. The scale of carbon capture we need is entirely unfathomable, requiring processes that don't exist, because they have to work against entropy itself.
Carbon capture at the point of burning fossil fuels to abate further emissions might be economical. Capturing already released carbon dioxide from the atmosphere (concentration of ~0.04%) is a fiction pushed by fossil fuel companies to muddy the debate and distract from the urgency of immediately stopping the burning of fossil fuels.
That's why.
Edit: Also, as some other comment said, thermodynamics tell us that it would take an inordinate amount of energy to bring carbon back to safe levels. More than what we get from burning oil. It's about entropy and all that. So there's that.
We needed to reach zero emissions 20 years ago and today we should have strong negative emissions.
At this rate I don't think humanity will reach zero emissions before 2050. It's going to take a couple of very bad years for humanity to take this seriously.