Not really, not when you consider the entire process.

Also, I did not say "turn CO2 back into hydrocarbons", that would be preposterous. No, it would take an unimaginable amount of energy to go out and take it out of the atmosphere and turn it into anything of any form.

The super simplistic example I use is: Take a bag of flour and let your building air conditioning system spread the dust all over the building. Now go pick up every single particle you released. And no, you can't open the windows and let outside wind clear out most of it. It's a closed building.

This is not a perfect analog, it is just an illustration of how it is very easy to create a mess and many, many times harder to clean it up.