Look to the oil crisis of the 70s for examples - it was a bad time but the cost of fuel spurred a surge in sale of small cars because fuel efficiency finally mattered. On another front it spurred the cycling culture of the Netherlands - they didn’t take up cycling and build infrastructure to support it out of altruism, they did it because their fuel supply was nearly cut off entirely.
Innovation only happens when there is a reason to innovate. If carbon emissions don’t cost the emitter anything then there’s no reason to invest in ways to emit less.
Right now there’s minimal financial benefit to being more carbon efficient. If anything it’s disincentivised because efficiency is itself costly, so it’s cheaper to just emit.