Really?
I know of at least one plane that has tailplane ice protection. The EMB-145 I fly is protected by a hot bleed-air routed to the stabilizer leading edge, just like the wing. It is automatically activated by the Ice Detectors and comes on whenever the wing and engines come on.
I always thought that the smaller a surface, the better ice collector it becomes. I believe a good example is the C-5 Galaxy; someone told me it does not have wing ice protection. I walked up to the wing at an airshow, and I saw how big it is, which made sense. By looking at the stab on a 727, it looks pretty small. I know most vertical tails aren't ice protected, but I didn't know that about the 727