There is a big difference between backing down on an anchor and backing down on a mooring.

The bow person has (or should have) just seen the entire tackle string on an anchor and noticed any weakness making it unsuitable for use. Backing down on it should not compromise it.

On the other hand, you have no clue about the condition of the ground tackle on a mooring ball. Repeated backing down on mooring balls will deteriorate the ground tackle. When you back down, you may have just broken all but the very last strand of line.

If possible, dive the mooring, just like an anchor.