Open and closed storage need not compete. In our Stonehaven shower room, fitted cupboards and a tall unit hold supplies behind doors, while corner shelves provide another place for smaller items near the mirror.
The useful distinction is what you want to see and reach frequently, and what can be put away. An open shelf can quickly become another crowded surface if it is expected to hold every spare bottle. Set a reasonable limit for the objects on the open shelf, then make sure it is easy to wipe behind them. Keep its role specific when planning the room, and allow enclosed capacity for the rest. The combination can offer convenient access without making all bathroom belongings part of the display.
