There has been a big push, from several different directions, to develop a more "free market" – as compared with Dodd-Frank's OLA – approach to financial institution insolvency, the Hoover Institute's "chapter 14" proposal being the most famous of these "pushes."
The problem is in the funding. Chapter 11 depends on private DIP funding, but even the largest DIP loans are much smaller than the liquidity needs of a SIFI.