I had some correspondence with IRCC (via email of Citizenship Scheduling Unit). Accordingly:
They confirmed that my Urgent Processing (UP) application has been approved, but they approved UP of only my file, not files of my dependents (my wife and my 2 minor children) although I am the principal applicant and we all applied as one family application package. I replied and asked to include my dependents to UP. They said they will look into it. Still waiting their response. In my understanding, if they approve UP of my dependents as well, then my wife will be invited to the test, too.
So, the best case scenario is that all 4 applications will be processed together as UP.
The worst case scenario would be my case will progress after I take the exam and pass. In that case, I will probably obtain citizenship before my family members which sucks.
Anybody who has experience with that?