CO2 was actually too expensive for enhanced oil recovery for which it is often used since in many cases capturing it in an effective way from industry is just not possible or nowhere near economically viable even at high prices. Hence trump signed a subsidy for co2 sequestration to fight the climate change he didn't believe in.

Since pumping CO2 into the ground is technically just that (even if they don't really care much whether it actually stays there and oil comes out in the process).

Generally the solution to these problems whether it's co2 capture or power to gas at scale is not some future way to defy physics or edge our way up in efficiency towards a distant future where it might be viable but to just emit less. I suspect we'll look at this in the future the same way many look at the plastics industry's takes and propaganda about recycling.

good point, but CO2 is ~415ppm = 0.4 per thousand = 0.04%

It could in theory, but as you say, nobody has created a practical way doing either of those things yet.