Sharingan is the ultimate ninjutsu tool, Byakugan is the ultimate awareness tool
Sharingan has the strongest genjutsu, Byakugan should have the insight to see through the genjutsu
Sharingan users have the chakra for fastest shunshin, Byakgan users have the insight to read the fastest movement
Hamura was Hagoromo's equal and had the stronger Yin affinity, the Hyuga's eyes give them potential to read through every jutsu like Itachi did, the only difference is that their observation feats come primarily from their eyes while Itachi mostly relied on his rational thinking.
The ability to read through any jutsu and negate any jutsu with Juken ultimately gives them equal potential to any of Hagoromo's descendants, you hate hearing this but Yin = Yang, Hamura's potential = Hagoromo's potential