Yes, The Sharingan came from the JuubiHey Sir Derp I would like to say that this is indeed possibly the case.
I believe the S06P being an Uzumaki is the case considering that would explain why the senju gained such strong life force and vitality being influenced by the Sage's blood line and the uchiha(older son) being greatly influenced by his Rinnegan and genetic changes from the ten tail greatly influencing the eyes cause as we know the offspring of jinchuuriki show genetic traits I.E Naruto having whiskers and anger issues due to the 9 tails being in Kushina.
With this being said it is quite possible that the Sharingan is nothing but a genetic mutation influenced by the Ten Tails(Obviously) and would also explain why Sharingan users are stronger from hate due to the genetic traits aquired from the Ten Tails itself.
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