Obito/Madara didn't need senju dna to become the juubi's jinchuuriki. Obito was given senju dna to control the gedo statue better, and nagato being an uzamaki wasn't able to control the statue well enough or become its juubi jinchuuriki.Wrong on Uzumaki look at Naruto no modifications whats so ever,He just walks into the Part of New Sage as it was a normal second skin. Why? Uzumaki DNA is closer to Hagoromo. All Naruto received at birth was a seal and Kurama. Madara and Obito could not take the Juubi power because their DNA pure Uchiha DNA was not enough without Senju DNA and the same Senju need Uchiha DNA. The Child of Prophecy had to be an Uzumaki. Jiraiya fist thought it was Nagato then Naruto the only thing they had in Common was their DNA,the DNA of the Uzumaki Clan. Fact the Manga states that only a Uzumaki can have the Fox seal in them any other Uchiha,Senju and so on dies. That is why Mito Uzumaki ask for a Uzumaki replacement Kushina Uzumaki and that is why Minato used His own son instead of Sasuke Uchiha or Sakura Haruno.
Naruto walked in as rsm because of him being an Ashura incarnate, that's it. Uzamaki isn't closer to Hagormoo and you have no manga page that can prove that.