Never seen a Hyuuga crash a PS. sorry but Kaguya's and Momoshiki's Byakugan are better than Hyuuga's. So the eyes and the user are connected.
No Hyuuga comes close to Kaguya's usage of the Byakugan.
Did OP mention the Hyuga? No. Did OP mention the Ootsutsuki? No. Just the eyes. And the Byakugan crushed a Perfect Susano'O. Again, OP mentioned the eyes being weak, the original wielder of the eye proves otherwise
Of course the eyes and users are connected, the eyes are nothing more than tools as good as the person using them. With that in mind, how does one even argue about either being weaker than the other? How do you go saying Kaguya isn't a fair comparison because she's an Ootsutsuki yet you use Madara/Sasuke/Obito to vouch for the Sharingan being strong when 99% of Uchiha can't do what they do?
This logic of dismissing the Ootsutsuki, the original wielders of the Byakugan, and only considering the Hyuga is as faulty as dismissing the Uchiha and only considering Shin, Kakashi, or Danzo.