"God doesn't Exist"- Claim or Conclusion

[Edwardo Piet]

Neither mathematics nor logic makes existential claims. When metaphysical claims are also existential claims they are therefore relevant to the universe and nature and therefore scientific and therefore should be testable and falsifiable.

Fair enough if the claim is that God exists in such a way that he doesn't affect the natural universe at all. But then that makes him indistinguishable from non-existent to all conscious subjects and therefore unfalsifable. This is why falsifiability matters.