Okay. One good reason already!
I was thinking it might be like the electric blankets that are 15w for low, 30w for medium, and 45w for high. They just run all the time, with maybe a safty cutoff on the high side.
If the FEH only cuts "off" when it gets "too high" with a dimmer, it would never get "too high" and just might run continuously at a lower temperature.
I think you should try it! I would if I could!

-John