They are coupled. The consensus among scientists and economists for mitigating global warming is carbon pricing:
https://www.reddit.com/r/worldnews/comments/bxgd5p/single_mo...
If there is a sunshade, then the need for taxing emissions is reduced, what will directly impact the price of fossil fuels.
Personally, I'm terrified by how people here suddenly are so enthusiastic about the sunshade, without even knowing its side effects, when the problem can be solved at its source.