The demand for carbon capture makes more sense after we have already transitioned to clean energy, as we can then begin to reverse the damage that excess CO2 and methane have been causing. The financial model for doing this is by a long-acting insurance firm that not only collects insurance but also uses the premium to preemptively take restorative actions.
No.
That's almost certainly a dumb idea. Always was. A red herring from the fossil fuel companies.
Obviously digging 1000kg of coal out of the ground, burning it to make electricity, and using that electricity to _synthetically create more coal_, and putting that back deep underground, is not going to put away even 100kg of carbon; You're probably lucky if you get 10kg given that CO2 is a trace gas.
You can do it cheaper, if you're willing to tolerate the carbon having less than the geological stability of coal. But then the ground burps and you're back to square one.
The part of carbon sequestration that isn't insultingly is the question of what happens once we've destroyed all the fossil fuel infrastructure and replaced that part of our civilization with renewables and (since it's always going to be advantageous to be a free rider) a good number of bomb craters.
My suspicion is that even when we get to that point, sequestration of 1kg is _so much more difficult_ than emission of 1kg was, that there's still a vast gulf between being at that point, and the point where we have the excess resources sufficient to sequester significant portions of the atmospheric carbon artificially. Probably instead, we end up coasting for a long while to see how much the biosphere can put away on its own; If we have climate change issues, we deal with them via stratospheric sulfur injection and by stochastically just adapting our footprint on the planet.
But I'm willing to be persuaded on this point. Perhaps there's work to be done with some kind of advantageous catalyst, mineral reserve & reaction (olivine maybe?), some way to cheat the system in the long run. I just don't think it's especially relevant to our plight in the short term.
The point is, charcoal production is the default method of carbon sequestration, the reliable null hypothesis by which you have to measure any other method, the denominator of human effort in this venture. No, even charcoaling the entire Earth's forests is nowhere close to sufficient to offset coal production (how the fuck could it be? The Carboniferous epoch was 60 million years long and we're going to run through its detritus in less than 600 years!), but a project to run a country-sized forest through the oven and into the mines every year is the _baseline_ for future meaningful effort.
The point is that no, sulfur injections aren't going to fix climate change, nor will a solar shield. The reason is that they leave high CO2 on the ground which harms cognition. One can't really make a living with a deteriorated mental function.