Paying people to do nothing gives you nothing.
Full employment isn't an end in itself, but it's useful because it is typically related to things we do care about. Employing people to do nothing is like fiddling with the speedometer of your care in order to 'go faster'. Or relabeling your amplifiers to go to 11.
You can sort-of turn atmospheric carbon into cheese. Have grass capture the carbon, and a cow eat the grass. That's totally doable, just not viable or efficient if your goal is to capture carbon at scale.
(If your goal was to go carbon negative at all costs, you could instate a whooping big carbon tax, and let the economy figure it out.)
I think we already have a lot of high paying jobs in the economy that don't do much and pay people to do nothing (of value). We should absolutely spread that around.
We figure out how to turn atmospheric carbon into cheese. Take CO2 -> C12H22O11