I think a big difference between Earth and Mars is that, because our planet is still geologically “alive” (it has a molten core and off gassing occurs on its ow

I think a big difference between Earth and Mars is that, because our planet is still geologically “alive” (it has a molten core and off gassing occurs on its own, the most easily observed example are volcanoes), the planet has been off gassing the needed molecules for life for millions, if not billions of years, and because of the nature of the molten iron core of our planet, we are able to hold these chemicals within our complex atmosphere without much artificial effort. While mars may have been geologically dynamic at one point, it either is drastically much less so now or pretty much dead. Terraforming by means of burning through the surface would have to be an ongoing thing process because not everything we’d burn would be beneficial for our understanding of life (us and the ecosystems we are used to on earth), but it would also be very hard to keep what we generate on Mars in an atmosphere. Could be wrong, though.