Won't happen. Climate change consequences are diffused, same as with deaths from car accidents and cardiovascular diseases. People are unable to perceive such risks seriously. In case of Covid-19 politicians and businesses are concerned of short-term and mid-term losses which are quite likely. In case of climate change losses are long-term and uncertain, and they believe they have "emergency measures" at hand if things really go south.
There's also another side to that: Covid-19 containment action plan has clear and unambiguous goals.
In case of climate change we have probably a dozen of contradictory narratives, each of them fighting others.
Nobody is really concerned about *only* reversing the climate change. Some would like to sell more gas, some want to do a social revolution, some want to get rid of this or that, essentially everyone has some vested interests they want to do on the way.