To the councilor, in the Church Tools app' if you can access the Manage Records / Move Records In and Out feature, it should be a good resource.
From a background of serving with many bishoprics, it's been rare for a bishop or councilor to directly move records in or out. However, with related features being available on the Church's website and in the Tools app' one councilor (or two) and a bishop in recent years were willing to handle some such changes themselves. My current bishopric prefer delegating clerical tasks.
Having been an all-in-one clerk (no assistants), as well as membership clerk at times, I'm very comfortable with the move processes. Yet, when I have a membership clerk I teach them and am available, then let them founder as needed. Some brothers find their way quickly, and others don't. Some excel, and some don't. Having patience and expressing faith in assistants works well, though development can take time. Our current membership clerk has moved way beyond me in ability to find brothers and sisters not caring or not wanting to be found, and though conditions in his personal life can delay or slow task completion he gets the work done.
Encouraging organization leaders to interact directly with membership clerks also helps with their development.
I've struggled with some of the Church's technology design decisions, at least because they've complicated operations. However, moving member records in and out used to take months for each instance.
Finding the right resource for sharing concerns/opinions helps, at least by 'getting it off my desk'.