Reading this reply, I was immediately reminded of a situation described by Jen Peeples, I think in an episode of The Atheist Experience, about her co-pilot's reaction of prayer during a life-threatening helicopter incident. ( This Comment is all I could find as reference. )
Unless your particular prayer technique is useful for quickly addressing emergency situations, you probably don't want to be in the habit of relying on it as a general practice. I think the "rubber duck" Socratic approach could still be useful, so this isn't a disagreement with your entire comment, just a warning about possible failure modes.
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".
Another month, another rationality quotes thread. The rules are: