This, but not sarcastically.
There is no "shut down to limit total cases." That's not an option. At best, even another full shutdown will do nothing but delay the inevitable. Absent a vaccine, cases will continue to rise no matter what. That's just a fact. As long as hospitalizations aren't straining capacity, we just have to accept it.
"Flatten the curve" doesn't limit cases. It just spreads cases out over time so that the peak doesn't exceed hospital capacity. The area under the curve is the same.