maybe putting a button on that minitab to close so people can close it easily.
That might not be a bad idea.. How about a little tab thing? It'd sit in the center of the window. Clicking it would open/close the black market stuff, but the pirate timer would always be on. That way, if it's "closed", the pirate timer basically doesn't go below the top UI bar, so it blends in. If it's "open", you see the black market stuff too.
It would also help the issue of watching replays, because right now that black market screen covers up all the replay controls and you have to keep going into the interface options all the time.

With the toggle/tab, you could just quickly close it without going into options, change your speed/player, and pop it back open.