After you've re-expended the entire 20th century's worth of fossil fuels energy equivalent in sucking CO2 out of the atmosphere, not burned it, and stored it in a country-sized propane tank, then maybe we're back to 19th-century temperatures.
I apologize if this wasn't clear. It's an expression about energy potentials, and as such it's not just useful in a lab, it's an essential piece of information about the substance.
For example in the original context of this comment thread, a person asked whether there was a danger of people exhausting our atmospheric CO2 because they got too greedy with this technology - a question that can in fact not be answered meaningfully without talking about energy deltas. The fact that CO2 cannot be practically processed in a way that releases energy is the only pertinent information when talking about this.
Plants make sugar from CO2, and also burn that sugar back to CO2 (plants respire overnight - they're not pure CO2 consumption machines).
- This process produces hydrocarbon fuel. It will be burned and the carbon will return to the atmosphere.
I suppose propane could become a chemical feedstock. Then the carbon could theoretically be tied up for a while.
Pulling enough CO2 to make a kilogram of propane and then burning that kilogram of propane for electricity is still better than burning a kilogram of freshly fracked propane.
One offsets consumption. One just adds consumption.
Pretty much the only reason to do this would be because you're specifically interested in generating propane. For example, it could be very useful for ISRU on other planets, or to generate propane "for free" from a solar setup.
If your goal is energy production, you'd just use the output of solar panels directly without this costly step in the middle. If you want to store energy locally, electrolyzing water into H and O would be hugely more cost effective. But propane is a more dense fuel that would be useful for mobile applications such as ships and cars, and can also be used as a raw material in chemical synthesis.
In fact, our most effective ways to take carbon out of the atmosphere today all involve a step of letting some mineral turn into one of this carbon-rich ones, and extracting it from there.
It would cut out the cost of mining, and possibly a lot of transportation costs, if you can use the products nearby.
More CO2 should also stimulate plant growth, CO2 is a bit of a limiting factor there.