It depends how you’re measuring. Organic has a MUCH lower yield than traditional farming, both in size (of fruits and veggies) and in yield per unit area of land.

So we as humans either chop down lots of forests and jungles (slash and burn, in south america) to feed people organically, or we convert the existing farms over to organic and let hundreds of millions of people, if not billions, starve because we don’t want to chop down trees or grow things non-organically. With all those people or trees (depending which option you choose) rotting away or burning, that’s quite a bit of carbon as CO2.

That’s not exactly what I would call “a small footprint.”