Oh hush, I said nothing about byakugou being related to dimensional travel. I said the the byakugou boost Sharrigan techniques to match kaguya's level.
Byakugou is the booster, Sharrigan is the power, should it be itachi's genjutsu, dimensional shifting/travel, ect.
You're saying "Kaguya's third eye Is like the Byakugou + EMS". That is a modified quote combining the title and first line of the thread.
Byakugou increases chakra threshold.
The Eternal Mangekyou Sharingan provides unique dou-jutsu and visual enhancements.
The RinneSharingan is an eye that provides the ability to cast Infinite Tsukuyomi and provides either unique abilities(such as the Mangekyou), or strictly the dimensional ones. The former would mean Madara would have a different arsenal compared to Kaguya's use of dimensions.
We can see that Byakugou has no belonging, therefore making your statement wrong.
Now I'll take into account the chance of you meaning the RinneSharingan is like Byakugou and Obito's Mangekyou Sharingan working together.
Speaking in terms of the RinneSharingan only offering dimensional modification, this is not true, but can be considered.
Kaguya is not able to phase at all. She can teleport an entire area to another location, and open a portal connecting two places.
Obito's portal is his eye, therefore he cannot move multiple targets scattered around.
Obito only has access to one dimension, while Kaguya has a main one that connects to multiple others.
tl;dr: the only way the RinneSharingan and Obito's Mangekyou are related is that they offer the ability to move dimensions. Their overall attributes are not similar in the slightest.