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Only if you treat the generated code (and the costs; time and money, even if infinitesimal) as non-disposable.

One can (and probably should) make the argument that if your initial/incremental belief was incorrect, one should start again with a fresh prompt or roll back the tree and prompt again, disposing of the now-incorrectly generated code.

I catch myself doing this all the time. My model (local) isn't nearly as fast as something cloud-based, so there is a real incurred cost of time that is hard to shake. Very often I'll need the model to reconsider and rewrite the plan after it's already done quite a bit of work. Rolling back the code is tough, but I should resort to it more often.

Yes. My thought is that the OP title is 100% opposite of the truth: Dealing with LLMs quickly teaches you to mercilessly throw work away and start from a clean slate lightly.
Am I the only one reading every line of thought/reasoning and smashing the stop button when I see things going in the wrong direction?

Obviously not as nimble as changing your own thoughts mid-sentence but drastically better than waiting for the full output first.