If you're not including the cost of later recapture, then it's not a fair comparison.
If you are including the cost of later recapture, why is it cheaper to recapture later than to do so immediately?
Could you elaborate
Did you ever do a barbecue? You first burn the light, hydrogen-rich substances of the firewood, with a large beautiful flame; that flame would burn down the meat, but it burns off quickly. What remains is charcoal, the source of most heat in the firewood; it does no produce a visible flame, but emits a lot of heat. It is mostly carbon.
I. e. Collection is half the problem.
Collecting it in a way it's cheap to get it back again is potentially just less than minus half the problem.
Any atmospheric extraction has a net positive compared to that.