I would think the invisible hand of the market would re-route all that pollution to areas without the tax and the earth wouldn't see that much difference. It's not like they're going to stop selling oil if the EU and US agree to stop burning so much of it.
I agree it's complex, but I think carbon taxes might be part of the complexity. If we're going to start messing about with markets, we should outright ban the offending activity and regulate harshly. If we're going to apply tokenomics to the problem and pretend we fixed it until we're too old to care, that seems worse somehow.
Or we can just do nothing and hope technology saves us. That's what the actual bet is whether we like it or not.