> (I’m assuming) their detailed processes and step by step functions are not present in their training data or otherwise available to the models

They are not available to anyone. Nobody knows how they work, including the models, Sam Altman, God, etc. They're emergent from the training process.

> Change 4: with the other changes done, the models should now engage in several self analysis steps layered into its whole thinking chain. “How did I reach this conclusion, did this require any guessing, do the key facts have research support online, quick check for Claudisms or AIisms and common LLM issues, did my changes alter underlying things like libraries without integrating them etc. etc.”

Remember inference costs per token. Do you want to pay for this every time?