Is the statement "Claims demand evidence" always true?

[Mudhammam]

Absolutely, they are theories of experience.  When I throw two billiard balls together on a table, I experience the feel of my hands on them, their sound, and the sight of their movement in various directions.  What I really want to study is why things, whatever-they-really-are-or-aren't, act the whey they do in my experience.  Whether the billiard balls are things in a mono-materialism, or composite ideas in the Mind of God, or simulations in the Matrix, doesn't matter.  I have my remembered experiences, including those of being informed about things in school, and my newly-perceived experiences, including either the process of doing an experiment or the process of googling a video about it and watching it on Youtube, and I want to see how they are connected.

Whether people are or aren't real outside my experience of them, I can still consider what they say.  If they describe a mathematical relationship, say the formula for gravity, I can attempt to validate that relationship.  If they say there's a Sky Daddy, then I can attempt to validate that, too.  In either case, I am seeing if a proposed relationship (possibly proposed by figments of my imagination, but I don't care) holds true in my experience.

Yeah, I see your point and I like how you put that. Do you think that the methods humans have developed or are capable of discovering are able to handle the sorts of questions in which you are interested, or is it perhaps a fundamental reality of experiencers, or of reality, that the further you travel along a path, the more the background recedes into the distance? Or do you think it is entirely possible that you are merely asking an empty question, something that doesn't have a true or false answer apart from the kinds of descriptions that we might now be inclined to give? (ex. of an empty question: asking if a club that dissolves and is later re-formed by the same number of regular members, if it is the same club or only one that is exactly similar to it?)