I know what DriveTest says, and I'm sure some or all of the testers follow that rule, but frankly, it's pretty dumb. Many vehicles are built in a way where it is incredibly unsafe to back up without using the camera. It's one of many reasons why they've been legally required in all new vehicles for more than 5 years. DriveTest seriously needs to modernize their testing criteria.
This instructor is teaching your mom how to drive, not how to pass the road test. I personally think that's (mostly) a good thing, but you should probably talk to the driving instructor about this discrepancy.