The problem seems to be that BIAB always opens as a maximized window. When the program desktop icon is a shortcut, you can right click on it and under properties, you can select how the window will open, "normal", "minimized", or "maximized". This has no effect on BIAB (2011). I would guess it's been programmed to open that way and not a bug.

A program like Notepad, which can open in a normal window, will "remember" it's size and location when it's closed and open the same way. BIAB could also do that if it could be opened as a "normal" window.

Might be something for the wish list.