Is the statement "Claims demand evidence" always true?

[ErGingerbreadMandude]

First of all, thanks for sharing such a brilliant thought.

Second of all, my opinion on

Does the claim that "claims demand evidence" itself demand evidence?

is that, the statement "claims demand evidence" is strictly true on paper but not necessarily true in practice. This is because the truth of a statement is interpreted subjectively by a person, meaning, a true statement can be interpreted as a false statement or a false statement can be interpreted as a true statement which is all entirely depended on the person that is doing the interpretation.