Unique logo/image displayed for each protected page?

I have a use case that I am trying to solve, and hoping this plugin can help—

I need to create multiple private pages, and each private page has a specific user or client org that it is created for. When entering their password, I want to display the client org’s logo, as well as a custom text description.

I see in the docs that it is possible to customize the text for password entry, but is it also possible to add a unique logo for each different protected page?