We aren't doing anything intensive, and we don't have chickens or pigs. I did the math, and it doesn't really seem like you can have chickens or pigs just range, you have to supplement their diet in some way. Geese on the other hand are like...the best animals for regenerative ag, maybe next to sheep.
We will probably get chickens at some point (unless we miraculously can range enough ducks for eggs), but we will have to buy in their feed.
They'll also ignore any imports into the system from conventional sources. SO, they'll feed conventionally grown feed, but not include that in their numbers.
In the end, even if regenerative farming was any good, the amount of meat we could afford to produce (aka without using too much land, water or other resources) is so tiny that 90% of our food would end up being vegan anyway.
Our property was farmland for 150 years before it basically ran out of nutrients in the 1970s. After one year of a pretty good harvest (not great) in 2019, we couldn't grow anything. One home testing kit later, and we found that there were virtually no minerals in the soil.
Fast forward five years and between heavy composting and generating a very healthy amount of bird waste, we're just starting to restore the nutrient balance in the soil. The next step (in progress) is planting some native grasses and low lying shrubs to try and break up the practically impenetrable clay pan that exists below the soil.
Many people dislike meat eating, and I understand that, but developing a healthy relationship with the land practically requires some form of livestock. We are turning "dead" land into highly productive pasture literally in one growing cycle.