Disable/hide individual profiles

Please give a quick overview of your product feature request or feedback and note who in your org is affected by this issue [ex. agents, admins, customers, etc.]. (2-3 sentences)

As a Zendesk Administrator, I would like to be able to disable/hide individual profiles for agents, users, and admins. 

What problem do you see this solving? (1-2 sentences) 

Sometimes, a customer or agent wants to hide their profile. 

When was the last time you were affected by this lack of functionality, or specific tool? What happened? How often does this problem occur and how does this impact your business? (3-4 sentences)

This request came up today. We can't disable/hide profiles individually; it's all or nothing. This is the first time this has happened.

Are you currently using a workaround to solve this problem? (If yes, please explain) (1-2 sentences)

No.

What would be your ideal solution to this problem? How would it work or function? (1-2 sentences)

There should be an option for admins to enable or disable this per brand.