Hello Joe,
It is very unlikely. WGA is not a recommeneded update for Enterprise environments so will most likely never be distributed thru WSUS.
As for the re-appearing update issue, I have no experience with WSUS. I recommend the Windows Server Update Services TechNet page
http://technet.microsoft.com/en-us/wsus/default.aspx as possible assistance for the problem.
Sorry I couldn't be more help,
Darin MS