1 A positive existential claim C is made.
2 No evidence supporting C may be adduced.
3 It is rationally obligatory, given 1 & 2, that our epistemic attitude towards C be either lack of belief that C or belief that ~C.
1 The claim is “There is God” G
2 There is no evidence for G [false, but let it stand]
3 ∴ it is rationally obligatory to lack a belief that G or hold that G is false.
1 “There exists at least one being not created by God” B
2 There is no evidence for B
3 ∴ it is rationally obligatory to lack a belief that there is any being not created by God or to believe there are no beings not created by God.
It if works in one case it should work in the other, because that is the nature of logic, viz. that it is content-indifferent.
What would such evidence look like?