Our need is for admins to do all their work on one page, the Admin view of the user, and always be able to edit the fields.
Without that, I’m jumping through hoops making them visible/not-visible, editable/not-editable, and on the admin page/user pref page. All of it taking extra time, but not providing any real controls because it’s all editable at some point.
the tl;dr summary:
Please put the User’s full name field, and all custom fields on the admin’s view of each user, all in an editable state.
Note that there can be other custom fields added by plugins, and they might have a strict structure, which I think is why this hasn’t been done. For the “private notes on a user” plugin, it wouldn’t exactly do to expose your ‘private’ notes to the moderators when they went to a user’s page.