Rubber ducking is for when you're uncertain how to proceed. An incident on a military aircraft is not such a situation: there are checklists that detail precisely how you're supposed to proceed, which you'd better be following.

If you are doing problem-solving in a distressed aircraft, and that problem-solving activity is not explicitly listed on the checklist for the current issue, you are Doing It Wrong. And if you're praying in such a scenario, it had better be something like, "grant me the calm and clarity to follow the checklist, so I'm not distracted by any panicky impulses".