But it's hard for governments to have its sight range longer than the election cycle. Private companies can aim for longer than 4 years without worrying about not being reelected when it's time to collect the spoils of their hard work.
That's especially true if they're controlled and funded by people with long-term vision who care more about getting important things done than they care about short-term profits. That's how SpaceX could spend so long burning money out of Elon Musk's pocket before they started turning a profit. This company has the same kind of backing: some very rich people who really want to see asteroid mining happen, and don't give a damn which congressional district gets to manufacture the hardware for it.