Earlier quoted context omitted.
Physics/Chemistry: Solid carbon (e.g coal) is more energy-dense than CO2 (per molecular weight unit). This is why you can gain energy from burning coal. To go the other way round you need to add this energy back in to break the very stable double-bonds in the CO2 molecule. This energy is what makes it expensive and there is no way around (except finding a really cheap energy source, but then you probably wouldn't bur…
I would, however, propose that once we have CO2-neutral energy production, we use some of it to recapture CO2 if the effect would be even minimal.
For example, when the Russian permafrost melts, it will release gigantic amounts of methane, a very potent greenhouse gas, into the atmosphere. Once that happens, not only do you have to capture all the CO2 you emitted, you also have to capture all that methane.
Also, you'll want to recreate the kilometers-thick ice sheets in the arctic. When those are gone, the earth's albedo will drop, which means that it heats up even more quickly since less sunlight is reflected.