No, heated leading edges are considered anti ice. They don't allow the build up of it in the first place.

One of the things that would prevent the backside issue that you describe would be the laminar flow over the wing. Ice builds up at the stagnation point of a wing. At that point there is no airflow and the ice is allowed to build up unmolested. As the ice builds up, the stagnation point moves forward and increases in size.

Boots, on the other hand, can cause exactly what you describe if not designed properly (I would imagine heated edges may be in the same situation). One only need look at the early ATRs for an example of this.