There are an infinite number of theories that cannot be proven or disproven. In the absence of any causal evidence your assertion remains irrational. For example I can’t prove you’re not a pedophile. You cant provide me with evidence that disproves you being a pedophile. Yet if I were to make a random assumption that you’re a pedophile remains, that would be irrational.

But absence of proof isn’t proof of absence either, so your insistence that these things have nothing to do with each other is just as unproven as my conjecture.

I made no such insistence. I am pointing out that there is no reason to believe those things are connected. There are and infinite uinebr of potentially connected things. Believing in any of them without evidence is irrational. Since you’re unable to even begin to provide any causal link, you are being irrational.