Even in a stagnant economy, people are still commuting to and from work in their gas-guzzling cars, and heating their homes in the winter. CO2 emissions aren't going to change a ton.
But what a stagnant economy does is prevent any kind of investment in renewable energy and electrification, because there's no excess money to use for investment. A stagnant economy is not installing solar panels, replacing ICE cars with electric and installing new charging stations nationwide, or replacing boilers with heat pumps.
And if we want to hasten the changes to renewable energy and electrification, that's what government policy is for -- via subsidies for desired technologies, heavier taxation for undesired ones, and regulation.
"Crashing the economy" to slow down climate change is like cutting university faculty by half in order to combat grade inflation. It doesn't make any sense.