That doesn't make sense. So wait, you say that uchiha + senju = older son. Yet we know that in order to get the rinnegan (sage dna) you need uchiha + senju as well. In that sense it's like you're saying older son= sage of six paths. You might still say that the older son did not have the uzumaki strong lifeforce but yet you suggest that the senju that derived, hypothetically, from the older son, have such strong vitality and physical power, while the older son himself didn't have them.
As for you edit, you make it sound as nothing is known about older son's clan, while we know more about senju's clan. That's also a fallacy. We neither have information about the senju's ancestor. If we want to be exact, the two sons were born Otsutsuki and then their special characteristics are what they made them so distinctive. Besides, your conclusion doesn't make sense. If uzumaki could seal elder's powers, that still doesn't explain how they could be the ones that divined, supposedly, his power and gave to the senju their wood style and such other characteristics, which the older himself didn't have. And also, if they could even do that, then why they didn't seize his power, and they just gave it to unknown people istead of becoming they themselves powerful?
OT: While I don't wholeheartedly agree with this theory, I do think it has some merit.
How does Jugo's clan, Gin/Kin clan, and the Hyuuga fit into all of this?
Byron:
Yes, you need both Senju and Uchiha DNA to have the rinnegan. But what did the sage say about the older son? The elder has my eyes, powerful chakra, and spiritual energy. So the elder son has all the dna required for the sage's eyes. If you assemble the dna of the decendants of the elder son, you can get the elders son's eyes--the sage's eyes.
The fact is, we know too little about the sage and the elder son to say definitively that the eyes are different.
You might think there is a difference between the elder son's eyes and the sage's, and from what we have seen of the two people, you would be correct. The elder is shown to have spirals in his iris's, and his father has the rinnegan. But from what we have seen from Madara, this is a moot point. He can switch back and fourth from using the Rinnegan, and that he used the Rinnegan to battle with and control the Juubi/TB. Whenever we saw the sage he had the rinnegan - but that doesn't mean that he
didnt have the spiral eyes too. (or for that matter, we have no proof that the elder son didnt have the rinnegan too). The rinnegan is most effective against the juubi, and that is why the sage is shown battleing with
it, instead of another set of eyes.
So, going from what the Sage said, the elder son has his eyes --which also means that he has all the dna required to have them. And that
His (elder son's) decendants, and His alone, will be able to unlock the sage's eyes. The younger son had no dojutsu dna, so a decendant of his (widely assumed senju) should not be able to unlock the sage's eyes.
Of course, in the real world this is not how genetics works. But the sage has a
frikgan DNA sword. He most likely did not sexually reproduce (just used the "creation of all things" jutsu to create the two sons, or something like that...)
The only senju known to have wood style is Hashirama. They are likely called "senju of the forest" because that is where they held camp back before the creation of villages.
The time where they made a name for themselves.
The Uchiha have the sage's eyes, Powerful chakra, and great Spiritual Energy.
The Senju have powerful chakra. (Flexing their chakra when revived in edo destroyed the building's walls) and great stamina (physical energy).
- They do not have a powerful life force. Mukoton is a technique only one Senju has been shown to have, and it is just a combination of natural chakras. It has nothing to do with life force.
The senju are more likely to be part younger and part older brother... They have both powerful chakra and physical energy. They do not have a powerful life force, nor the sage's eyes.