I don't ordinarily challenge well-founded beliefs unless there exists a reason to challenge them that is separate and distinct from just an emotional desire to believe something different. The brain deserves a good reason.
I have always known and accepted that none of us will ever know with absolute certainty the paternity of any of our presidents. Our founding fathers were well aware that our knowledge of such things would be limited and nonetheless gave us the founding document that they prepared for us.
I think or founding fathers were right - exactitude in this area is not crucial. And, our success has proved them right.