Is the statement "Claims demand evidence" always true?

[Mudhammam]

Yeah, that there's solipsism, essentially. But we cannot think something into reality, can we?

Truth is necessarily abstract. Facts are not.

Okay, so let's parse it like this: Some claims about God purport to be true (God exists) but not factual in the sense of verification; others more specifically claim to be both (God came to earth, say, in the form a politician). Do you agree with me that an atheist is mistaken, perhaps naively so, to reply to the theist who is asserting God as a truth (nay, THE truth) in "necessarily abstract" terms (rather than as "a fact") with the statement that "claims demand evidence"?