The problem with TEM is that it tends to encourage linear thought - actions will create the desired resolution. I spent some time in the UK RAF where we often quoted the Boyd`Cycle (OODA Loop) which was more of a circular decision making process - think DODAR. The advantage of the Boyd Cycle is that you review the efficacy of your actions and then, potentially, choose additional or even different actions.
Of course, such flexibility and decision making (including potential divergence from checklists) requires experience and deep theoretical. knowledge. In that area I think we all agree that aviation is struggling, not just due to the training system but also due to the manufacturers not telling the full story.
People quote Sully as an example in that he ‘got the job done’ regardless of checklist.