Ok, could be. Does that imply then that this is a general feature, that if you get the same output from different methods and contexts with an LLM, that this output is more likely to be factually accurate?

Because to me as an outsider another possibility is that this kind of behaviour would also result from structural weaknesses of LLMs (e.g. counting the e's in blueberry or whatever) or from cleverly inbuilt biases/evasions. And the latter strikes me as an at least non-negligible possibility, given the well-documented interest and techniques for extracting prompts, coupled with the likelihood that the designers might not want their actual system prompts exposed