Thanks, Richard! I am able to repro the issue you are reporting, and we’ll get that fixed up. 
Admins should always be able to see and manage the name of users, even if it is not shown in various places in the forum.
As regards the rest of this conversation, I can see there is some more work to be done to bring together these settings and make it easier to understand. I’ll add that to our list to investigate further.
In the meantime, I made a small PR to remove that ambiguous language in the description of the enable names site setting.