JimmyH:
This is inaccurate and misleading. Before this is triggered and depositors take a haircut the bank's shareholders (=owners) first lose all of their investment. It's more accurate to say: "They can take higher risk investments. When they pay off then sweet profits for the shareholders. When they fail then the shareholders lose money and can be wiped out."
Good summary here.
So who owns the bank after the crisis (assuming there is something left to own)?