> The philosophical burden of proof lies on the person making empirically unfalsifiable claims.

You appear not to understand what a prediction is. "I believe X will likely happen because Y" is different from an assertion of fact that "X will happen". A prediction cannot even be empirically proved! You are simply suggesting that nobody is allowed to make a prediction, ever. Russell's Teapot, too, is not an argument that you cannot believe in God. It is an argument that the unfalsifiability of a claim is not a basis to assert that God exists.