Yeah I mean that’s pretty obvious. If you increase the cost of pollution then things will be more expensive, including for the poor. Still pretty disingenuous since the poor pretty much always get the short end of the straw by most economic crisis management, even though they are the least responsible for having created. Eg bailouts of irresponsible speculators.
Another aspect is that crises are really bad for the poor. Wars, pandemics and depressions is when the biggest poor-to-rich wealth transfers occur. Preventing crises is typically better for the poor than meager after-the-fact concessions.