No, it’s nothing like that. Nature doesn’t care if a given gram of co2 was recently released or not. It only cares about the sum total. If the carbon capture schemes actually did grab a gram for every gram released, and then keep it stored for at least a century, that’d work fine.
It’s just that they almost certainly don’t. They’re way too cheap for the best capture systems we have, and they’re not necessarily sequestering that carbon to keep it out of the atmosphere for more than a few years.
We are almost certainly going to need actual carbon sequestration. We’re too close to emitting too much already.