but the government gets paid for that
wild horses don't pay taxes and fees so they must die
Sounds reasonable to me.
The BLM is tasked with balancing the needs of the natural ecosystem vs. useful agriculture. These horses fall into neither category, as they are no longer useful (we have motor vehicles now) and are not native to the region (humans introduced them, making them as much an invasive species as the Zebra Mussel or the Asian Carp).
But they are romantic creatures to some people, so we should let them chew up all the brush because they have no natural predators?