The banks were not bailed out because people cared if the corporation of the bank prospered. The banks were bailed out to prevent millions of mortgages being put into jeopardy.
The banks coexist with Federal agencies that underwrite, protect and regulate savings and mortgages. They aren't food delivery startups. This is why many nations have the notion of "chartered" banks - to recognize that the banks aren't just yet-another corporation.
Once the banks accepted bailouts, they accepted a new mission. Same with GM - it effectively became a temporary jobs program once the government started underwriting it.