it is not possible to conclusively prove that there are no red swans

I know it isn't and as I said, it is a red herring anyway. You cannot prove the non existence of anything so your saying that there are none to counter your claim does not prove that your claim is valid. Did you actually read the link I posted?

It is possible to prove that all histories written in the last 20 years confirm your 3 points. Read them all. The alternative is that you stop stating that it is a fact that they all agree. It is not a fact until it is proven. The burden of proof is still with you.