All true, but paternity has not been proven. That is a very important distinction. You do understand that, don’t you?
You need to rewrite your second sentence, it doesn’t make sense.
I believe paternity has been proven by the fact that there is no record of Randolph being there during her conception times but Thomas Jefferson WAS there. He owned her. Her’s is the only family he freed.
So for me, it’s settled.
If you are arguing it from the standpoint that Jefferson was such a good man that he could never do that, then it seems to fly in the face of logic to believe that on his brother’s I frequent visits that Jefferson would allow him to rape his maid and that each and every time produced a baby.