I believe that after the Washington crash in 1982 Boeing modified the wing TAI system on 737 aircraft, to allow it to be used on the ground. However, while the L/E may be the most critical part of the wing, the entire upper surface must be free of frozen contamination at takeoff.
In the unlikely event that the only part of the aircraft with frost or ice on it was the L/E, selecting wing anti-ice would certainly remove it but the potential then exists for melting frost or ice to run back and re-freeze behind the L/E. To imply that this system can be used on the ground, in lieu of a standard de-/anti-icing operation, is in my opinion highly dangerous.
There would also an issue with selecting wing anti-ice on the ground, immediately following de-icing or anti-icing with Type II or IV fluid. The fluid remaining on the heated L/E would evaporate fairly quickly, leaving behind deposits of dried out thickening agent. Add moisture at some stage in the future and the water soluble thickener will swell to form a gel like substance on the L/E.