They were probably worth much more than $400M before the failure so it was a good investment opportunity. They would have been a money printing machine aside from this one major fuckup.
The nuance is a) what happens to existing equity stakeholders and b) does the bailout have to be repaid.
If the answer is nothing and no, then it’s a bailout philosophically. If the existing investors get diluted then they’re in part paying for the new capital injection.
A government bail out isn't the exclusive use of the phrase "bail out", it was both a bail out and an opportunity for investors to get great terms on equity.
After all that they still got a $400 million cash bailout!