Something like this would reduce the need to transport it to other countries, since you can manufacture it anywhere you want. Right now we're limited to where we can pull fossil fuels out of the ground, which means that it has to be transported from one place to another. That's not the case with atmospheric extraction.
https://link.springer.com/article/10.1007/s10311-021-01322-8
an interesting paper for you :)
We already do this in various places. For instance, if you dedicate land to growing a forest in Germany to offset your carbon emissions, it is added to the emission trade balance of the country no matter if you intend for it or not - you can't offset.
Hamburg Airport tried to do this as a publicity stunt, and only later noticed they're doing nothing for the CO2 bottom line.
The best we can hope for is better capture, storage, and utilization strategies. If we can find a way to create a machine similar to the Terraform Industries model, but focused on methane capture, perhaps we can reabsorb/store that as well.
That's why there are demands for regulations only after scientist looked over the shoulder of industrials. At the end, scientists often only look at things, the don't decide about regulations and economy.
Backing out would require a lot of courage, but not doing it put a serious threat to the efforts of keeping the climate change at a not-too-catastrophic level.
Talking about terraform, in 2011 in germany they did test renewable powered methane production via electrolysis and Sabatier process. I can't find any news about it, but it's exactly what terraform is doing.
Terraform claim to produce H2 at less than 2.5$/kg, but I find different numbers when looking at scientific publications (it's between 4.8-7.5$/kg).[0]
They also claim to produce from "air", but C02 capture is really poor and it's better to capture it from industrial plants. But anyway, it's not a big problem.
An other problem is the water cost of electrolysis.
[0] https://link.springer.com/article/10.1007/s10311-021-01322-8