Another thread ruined by stupidity.
If you'd bothered to read the rest of the thread, we've kinda already dropped that idea. And since you've argued on about CV hiding being fine because its sorta-realistic (or atleast promotes realistic sorties), I'm going to argue for this idea (even though I personally don't favor it) using the same argument.
Code books were captured telling how to decipher the messages sent by the task group for the next few weeks. Even though the base is captured, the task group still has to stay in concact with the rest of the fleet, and with the Navy Department.
This lets us see exactly where that boat is for the next little while. Its realistic, so deal with it.