I don't really think you can evaluate government loans the same way you would as a private investor. The federal government has defacto senior equity in every company that is incorporated and/or operates in the US. As a private investor the only upside you get from a loan is the interest. It's not even entirely fair to use a VC type model here as the government will also reap rewards from companies that indirectly benefit from these investments.
Your points regarding state-owned companies is more a case against equity investment and a defense of the loan model. The US government isn't going to go to extreme measures to recoup a billion dollars and because it doesn't have any additional equity there's no other real incentive to prop up the companies that it has loaned money to. The free market is an extremely powerful system that is capable of remarkable things but it's not perfect and there are problems that the free market won't address on it's own (climate change being a poster boy example).
Your points regarding state-owned companies is more a case against equity investment and a defense of the loan model. The US government isn't going to go to extreme measures to recoup a billion dollars and because it doesn't have any additional equity there's no other real incentive to prop up the companies that it has loaned money to. The free market is an extremely powerful system that is capable of remarkable things but it's not perfect and there are problems that the free market won't address on it's own (climate change being a poster boy example).