Exactly. A CVBG doesn't go into an area with known bad guys subs in a real war scenario. The hostile Sub would be tracked and probably sunk in transit long before it became a threat to the CVBG. A CVBG only goes into sanitized waters. If you cannot tell the CVBG where the bad guys are then they don't go into a high probability area unless the mission is really worth the risk.
"Sanitized" waters aren't always sanitized. Of this, I can assure you.