The Boeing 707 originally had de-icing on the vertical and horizontal stabilisers. It was a rubber boot with electric heating wires embedded in it, with an external protective covering of stainless steel.
It had a problem that a lightning strike on the leading edge would burn a hole through the stainless steel covering into the wires in the rubber boot and sever the heating wires. This then required that the whole leading edge had to be replaced.
Boeing did tests with 'mock up' ice forms on the tail leading edges and this proved that the requirement for tail de-icing was not needed.