The statement "only that which can be known using reason/logic exists" is not proven. It actually disproves itself. That's what falls on its own weight.
The context here is your requirement that God's existence be proven using reason/logic or else God does not exist, and/or cannot be known.
I think that is your position in the last few posts. Correct me if I'm wrong.
If not, then your position/requirement doesn't follow logically and is in fact illogical.
If it is claimed as a mater of fact, yes. If it is treated as a hallucination, insanity, dream, fanbtasy, fiction, what have you, even a simple a priori blind belief, then no.
For if I make a statement of fact (such as "I can fly on my own," or "I am God" or "there is an angel in this room" or "the world will end on such and such a date" or "my dog can talk", etc.) you will ask me for a rational, verifiable proof. If you tell me there is God, I will ask you for proof; you bet.