That doesn't mean she has the doujutsu itself. Didn't you just argue that she has the power of the sharingan without having the sharingan itself?
Hagoromoo said that she has the power of the sharingan and the byukagan, and he continued to say that she used her "ocular" powers to cast that jutsu.
You must be registered for see images
Question:What ocular powers did Hagormoo say she has?
Answer: Sharingan and Byukagan.
Question: What eye can cast that genjutsu?
Answer: The sharingan
Rinnegan isn't part of anything being said. He did not say that kaguya possessed the power of the rinnegan, sharingan, and byukagan now did he?
It does make sense when you are not a native japanese speaker. But the viz are not online licensed officials but they are native speakers that work with Kishi for the translation. You are not there in the making of the manga or the translations and that's one of the most vital part that separates them from you.
Yet Hagormoo said she did use a sharingan. which is a fact whether you like it or not. Manga is fact and it's their say vs. yours, and you need to learn how to deal with that.