You should know there are different types of genjutsu. If it's one that Puts you in a paralyzed state or any other form of comatose state, The byakugan user is still affected and can't do anything about it.
Byakugan will help against reality simulated genjutsu? Yes. Stating all other types of gen is just ridiculous
I also disagree with the sentiments of some of your scans
For one, Being able to utilize Sharingan to look at your hands and legs are not going to help you realize you're in a genjutsu.Considering the control of chakra mostly takes place in your cranial nerves, something you can't see on yourself. Prime reason sharingan users Like Danzo can still be caught in genjutsu
You must be registered for see images
1- I know there are different types of genjutsu. The kanashibari genjutsu gives paralysing effects, the simulative genjutsu gives imaginary thoughts, and there are ones made for torture or collecting informations
2- You're wrong concerning the working of genjutsu. While genjutsu takes control of the chakra in the head, it's the entire flow of chakra which is disturbed. As an example, look at Rin's chakra flow in the Kakashi gaiden when Obito was watching and you'll realise it's her entire chakra flow that was disturbing(can't show pics at the moment), so no seeing any part of the body being disturbed would allow you to notice any genjutsu
3- Never said noticing genjutsu breaks you free. To break free, you would have to cast a release(dispelling genjutsu or kai release).