The reason indicated airspeed is most important and useful is that it's a direct measurement of the aerodynamic stress on the plane. For instance, you can't lower the landing gear above a certain indicated airspeed, because the force of the air at that speed would rip it off, or at least damaged it. It doesn't matter what our true speed is in this case, what matters is how much aerodynamic stress is on the plane.
So you should keep your airspeed indicator displaying indicated airspeed, and if you want to know your true speed over the ground, refer to the GPS.
Ed