[AnimalMuppet]

Answer: None of them. Because no matter what project management style you pick, the same managers would be running it. They would still be not listening to anything, still be not fixing anything, still be watching it go off the cliff without any intervention.

In fact, I assert that a good methodology can't save bad managers.

But bad managers sense that they're floundering, so they reach for the panacea du jour, hoping that it will magically rescue them. It won't. It might work in the hands of competent managers, especially if it's genuinely appropriate for the project, but in the hands of bad managers, all you get is disaster no matter what the methodology is.