I'm not familiar with whether the 737 Max development used DO-178B or DO-178C; the latter is a successor to the former, but frames the development process significantly differently.

Any process can be used well or poorly, and DO-178C isn't really a process, it's a set of objectives that a process must accomplish. When used in good faith, I believe it can lead to software of higher quality than almost any other approach (although, to be fair, at higher software development cost than almost any other approach). That doesn't mean that chanting the document name and using hand-me-down rituals is sufficient to achieve high quality software, of course :-).