What is the Meaning of Directly Observable?

That is my sense too. The original context was discussing the “direct” detection of a pilot wave. I was unclear that adjective had any meaning in that context.

Which led us down this rabbit trail.

I suppose the lesson is that different subfields have different meanings of “direct.” In the context of an individual field, it might be clear, but it is going to be hard to precisely and unambiguously define “direct” observation versus “indirect” observation in a global sense. I’m not sure, in the end, that really has much to do with the strength of the theory.