BS would essentially be vegetable matter for that matter.
Ever heard of "nitrogen fixing bacteria"? That's what is in BS that isn't in decaying vegetable matter.
I'll tell you honestly: You have demonstrated no more than a high-school level of understanding about soil biology, and no idea of grass physiology as regards soil formation.
In grasslands, decomposing litter will cause the grass to lose support from forbs, because the allelopathic toxins they release will suppress forb germination. It will also choke the emergence of new leaves in the rainy season. It takes about five years, but eventually the perennial grasses go decadent and die, doing far less in the way of root production for decomposition than they would if they had been grazed or burned. Moreover, without the herbivore intestinal microflora, that decaying detritus won't do squat for soil. In predator mediated systems, that's what happens, and it can lead to desertification in brittle environments.
So far, your posting shows no interest in fact. I've offered photographic evidence of factorial experiments as support. I looked at your FR page, and lo and behold it shows that you've been a banned account. It's little wonder.