While it does include many sizes, I don't think 80-bit is included. The sizes mentioned in IEEE754-2008 are 16, 32, 64 and then multiples of 32 that are greater or equal to 128 (96 is not included).
Now I totally agree that people should almost always not be storing these things on disk or passing them across the network, but they were RECOMMENDED by the IEEE committee, and that's why Intel and Motorola implemented them. A kinda bad idea, bad implementation choices, but recommended.