I don't think so either.
“The toothless tortoise is ill equipped to harvest and masticate range forage. The tortoise can harvest only tender vegetation, and it can’t masticate even that. The tortoise can’t process enough bulky, low analysis forage fast enough to meet its nutritional requirements (Nagy & Medica 1986). They solved this problem long ago—they allow other animals to do it for them. Desert tortoises feed primarily on dung. The more animals using the range, the more dung, which makes more food available for tortoises.”
So removing cattle as the BLM is doing on Cliven Bundy’s Nevada ranch is not helping the Desert Tortoise. In fact, it’s killing them off.
Let me update your post. When hoofed animals walk on desert soil they break the top sun baked, crusted layer. This enable seeds to get caught in the soil and the evening winds cover them in light dust. Then the morning dew waters them and they start sprouting. It is these render shoots that tortoises dine on.