It's amazing how leery some American skippers were about using their radar. That's especially true in view of what happens when you add up the score.
American sub runs radar, both air and surface 100% of the time. He knows the range and kinda sorta bearing of every plane and knows the range, course and speed of every surface ship within range. Pretty good situational awareness, no?
Let's assume the Japanese detect the signal, not a given. They know there's an American sub out there.......somewhere.
I say advantage Submarine, not by a little, but by miles and miles! Captain Joe Enright of the Archerfish turned on the radar and left it on against the advice of everyone on board. He knew Shinano's exact course and speed and that it looked the size of an island.
The Shinano's captain detected the radar signal, noticed it just didn't go away and concluded that there must be a lot of submarines out there for one to just keep blasting the radar. From a course and speed that made him untouchable, the Shinano changed course and speed right into a perfect setup for Archerfish to send her to the bottom.
Sometimes a little information is all you need to give up to goad the enemy into a mistake...