Many REers (I have noticed) lambaste the zetetic method and FEers who use it. This is, in my opinion, an error. The zetetic method lays the groundwork for the method REers use anyway: the scientific method.
If one follows the zetetic method to its logical conclusion, then one will derive the scientific method eventually. This is how the scientific method was created; this is what we call history. Contemporary zetetics merely reverse the clock, and begin their thought-process a couple millennia divorced from the achievements that zetetic methods have thus far produced.
Let me state that again. The zetetic method is not novel. What FEers call the zetetic method, is what the rest of the planet calls the scientific method minus about 1-2 thousand years.
There is absolutely no problem with individuals seeking to begin this process anew without the benefit of all the progress that has been made. Such an endeavor is, in reality, quite scientific. And honest! We should support such efforts.
And we should also seek honesty in that exploration.
True zetetic investigations are historic, Galileo being one of the greatest zetetics to have lived. He championed direct observation even when doing so threatened his life. We should strive to be equally ruthless. Even if the results contradict what feels safe, or familiar. This is true zetetic practice, and it is emotionally difficult. But worth it.
In true zetetic fashion, I have visited a Foucault pendulum in London. I have watched it precess, across the hour. In true zetetic fashion, I need to form an explanation (i.e., a model) to explain this behavior. In true zetetic fashion, my explanation should match other explanations made about my reality. They should meet -- they should support each other. Otherwise reality is divisive. I seek an explanation congruent with my reality.
https://en.wikipedia.org/wiki/Foucault_pendulum