Our very small local Level I matches feel pretty random, with a few stages in two large adjacent bays and one guy (MD, RM, CRO) in charge, and whoever is available running the timer.
The Level II matches that I've been going to have a Pre Match for the crew, the day before, with RO's going and shooting with the squad. Then the ROs and other crew stay with the stages for the Main Match.
Going with the squad, as RO, feels rushed to me.
Staying with the stage can be more relaxed, without the need to hurry to the next stage. I have time to see that targets get replaced when needed, I get to know any particular issues that the RO needs to watch out for at that stage, and the stage is run efficiently, equally and consistently for everybody. Using Practiscore, shooting order is handled automatically, unless there's a particular reason to adjust it.