That sounds like a good idea, but right now I do not think management console is a multi-tenant application. Today, branding is only required for custom modules: QuickSupport, QuickJoin and Host.
I do not know if it's in your ability, but all the information available on the management console in the connection protocols section is available with REST calls through the APIs that TeamViewer makes available. Creating a customized page with the same information and being branded is possible with a fairly limited effort. It's just my opinion.