Yes; don't have a reference available but healthy soil mostly consists of biomass compared to arid land which is mostly sand. The process of returning arid land back to healthy soil involves a lot of carbon capture in the form of dead plants, bacteria, root systems, fungi, etc. I've heard numbers suggestion this can be 70-80% of the mass and it builds up over time to form deep layers.
Another issue is that N2O forms when urine and manure are mixed; which is common with intensive cattle farming. This happens a lot less when cattle is roaming around and instead this helps fertilize the land and stimulates growth; it's actually good for the land. So, compared to growing cattle indoors and feeding them with the wrong food that is typically also produced using intensive farming, there's a big difference.
Another issue is that N2O forms when urine and manure are mixed; which is common with intensive cattle farming. This happens a lot less when cattle is roaming around and instead this helps fertilize the land and stimulates growth; it's actually good for the land. So, compared to growing cattle indoors and feeding them with the wrong food that is typically also produced using intensive farming, there's a big difference.