Humans also post-rationalize the things their subconscious "gut feeling" came up with.

I have no problem for a system to present a reasonable argument leading to a production/solution, even if that materially was not what happened in the generation process.

I'd go even further and pose that probably requiring the "explanation" to be not just congruent but identical with the production would either lead to incomprehensible justifications or severely limited production systems.