There are only 2 options:
A. God exists
B. God doesnt exist
One could say, because there is no proof for A, B is true.
But that would be an assumption that B is true if there is no proof for A, because B can be false even if there is no proof for A.
Thats because there is also no proof for B.
One could even say it in a different way: A is true because there is no proof for B.
Since logic works both ways, it follows that its an assumption to treat either way as true.
So to conclude, absence of proof is not proof of absence when you have two contradicting options, both without proof, where one must be correct.
However, absence of proof doesnt fall outside of facts, but in the facts of probability.
Fact is something which is proven by observation.
By observation, we see that God either exists either doesnt.
Its a fact that one of those must be true, and its a fact that we dont know which one.
Therefore, we would be dealing with 50% chance of God existing, since by laws of probability, when two options have unknown probability where one option must be true, it is treated as 50% probability.
When probability is equally unknown on both sides, it follows that both sides are equally possible since unknown probability of one side equals unknown probability of the other side.
Since its impossible to prove that something supernatural doesnt exist, you could say that religious people have an advantage in proving God.
Therefore, denying any proof they present would just return the status of probability to 50%, which is a good probability for religious people.
But religious people gave attributes to God, such as "completely good", which led to problem of evil.
Since "completely good" contains only good and its actions result in only good, the existence of evil humans contradicts that, as existence of evil humans is a result of God's action of creating those specific humans.
Therefore, God's action resulted in evil humans, where lack of that action would result in no evil humans.
So you could say that religious people harmed their own cause by giving God attributes which God cannot have.
Its not a proof that God doesnt exist, but it is a proof that their specific "completely good" God cannot exist.