Pretty clear, right? Actually, the details really matter...
Heal and Schlenker 2019 model the impact of a Pigouvian carbon tax on cumulative oil-associated CO2. Let's step through what this means term by term.
We already know changing price of oil/gasoline has little impact on its use. The paper uses/cites elasticities of 0.2-0.8, meaning +1% price => -0.2-0.8% demand.
But even a tiny c-tax would kill a whole lot of coal. Huge impact on climate change.
Qualitatively, true that c-tax won't hurt oil producers too much in short &perhaps longterm. For foreseeable future, oil will still be in high demand 4 transport,& there's lots of supply too. But c-tax will still kill a lot of GHG from coal,&if high enough, also natgas