The Hyuuga are even more important than being the descendants of Hamura (which they are not).
The Hyuuga are the descendants of the Ototsuki warriors left behind to safeguard the portion of Kaguya that would, one day, be reborn amidst their head branch (perhaps they fully understood the details at the time - perhaps they knew only that they needed to stay).
Hamura, most likely, did not have the Byakguan. Nor was he the progenitor of the Uzumaki.
The Uzumaki predate even the Sage. They were the original tenants of the Holy Tree - the ones who learned to harness the flow of natural energy via ritual and seals. Some of them even mastered the art of becoming a "sage" and directly harnessed the natural energy around them to become warriors who could contend against even Kaguya.
The Sage of Six Paths, Hamura, was born with the expression of Kaguya's desire to end the suffering of the world - the Rinnegan (which is symbolic of the Buddhist Dharma Wheel and the six paths, or six phases, of Karmic reincarnation). When the Ototsuki (Wuji) and the Uzumaki (Taiji) come together with the inspiration of the Golden Fruit (Elixir of Life) - then destiny can be rewritten and a new world created or the existing world recast.
Hagoromo and Hamura are the product of that movement.
Born of Kaguya's desire to see people achieve power and to overcome obstacles was Hamura.
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Juugo is the descendant of Hamura - inheriting the ability of the Holy tree to absorb nature chakra.
Though, when Hamura and Hagoromo sealed the Juubi between them - it is quite likely that it was Hamura's portion of chakra that was divided amongst the people by the Sage.
One must then question whether or not Hamura was a willing participant.