It clarifies what I already had fine, but it's a lousy answer in my opinion.
I think a corporate branded icon gives more peace of mind to users which is a stronger justification than your support staff being unable to quickly recognize the icon. Further, you could always check the console for the rebranded Agent icon before searching, but seriously, does hovering over a few tray icons to find the right one cause your Support that much discomfort? Our users will never see pop-up notifications (since they aren't enabled), and only a few will ever use the Self Service portal. This is barely rebranding at all, and really, do our technicians care that much that the console is rebranded? The answer is no.