Found an interesting theory about this on Reddit:
"It seems that the big reveal will be that the Federation headquarters has moved to Qo’noS. Secondarily, I think this is likely because of the Klingons’ conspicuous absence after almost two seasons of dominating the story line. Primarily, however, this is because of the Pidgin word for Federation: “V’draysh” (DSC S03E01, “That Hope is You: Part I”).
Assuming the Empire joined the Federation at some point between the 25th and 30th centuries, it’s reasonable to expect tlhIngan Hol (the Klingon Language) to have become a second interstellar lingua franca. This could have led to the Pidgin that Book referenced in DSC S03E01.
In which case, it’s entirely reasonable that “Federation” may have been treated as a proper noun and rendered in the orthography of tlhIngan Hol rather than translated to its Klingon equivalent, “DIvI’.” In which case, “Federation” would be rendered as /veDIreySon/. However, tlhIngan Hol tends towards shorter words, so we can reasonably expect the unaccented sounds /e/, /I/, and /on/ to disappear. That leaves us with /vDreyS/, which sounds almost exactly like “V’draysh.” "
https://www.reddit.com/r/DaystromIn..._discovery_people_of_earth_reaction/?sort=new
I would really like seeing this happen