One of us was qualified to deliver nukes, and I'm thinking it wasn't you.
if the captain indentified himself and his boat, then he has just told the third boat who he is, who the ship is and put a confirmed name to the sound profile the enemy boat would be generating.
The Russian SSN that waits just off shore in international waters to pick up the SSBN as it comes out already has that opportunity.
During peace time, no ship commander is going to have a collision with another friendly ship and knowingly leave the scene.