ahhh, gotcha. Yeah that sounds like a problem the host should offer a remedy for, and if not, whelp, yeah... change of host.
But I think it's equally important that the user can trust their browser to show them the correct URL for the website they are visiting, not a "best guess".
www.example.com is a web server, but example.com is going to point to domain controllers.
You could set up IIS to redirect on the domain controller as a work around, or Chrome could stop hiding important info from users.
You could also train users, but we know how that goes.