Anytime anybody says anything about the social cost of carbon being greater than $0.50 per ton, I just tune them out.
They also burn down or are harvested quite regularly.
That said, I'm not educated on the topic well enough to say whether this argument applies to carbon sequestration.
You cannot use a an active mine for this technique, you have to let the stone lie and weather.
Of course, the more we can scale back greenhouse gas emission the less we'll need to extract, so IMO it only makes sense to come at the problem from both sides.
That being said, I believe carbon capture proposals don't typically involve unburning the carbon - just capturing it and storing it. So the energy situation isn't as bad as your calculations.