As I have read the dialogue for this question posed by Henrik Erlandsson, and did not see a word that encompassed his desired search, though many tried, I wish to ask again, since it has been 10 years since it was first posed. Perhaps? Perhaps not? This may be more of an update question.
I am looking for a word or very short phrase that could be used to describe a person who is "on the fence". But not that phrase, as that phrase is incomplete, for my purposes.
I am trying to describe one who is taking neither side, for the purpose is not to debate right or wrong. The purpose is to see with clarity, both sides of an issue or an argument, without emotion. Without emotion is key, as no person can see clearly when emotions are triggered. And subsequently, rational solutions cannot be offered or suggested.
Without the capability to see both the pros and cons from both sides (or multisides), there can be no resolution. I think being "on the fence" provides a pretty good perspective in the middle, and an ability to listen and to be more rational, and to have an understanding of differing perspectives. All conducive to coming up with a plausible solution.