I am not sure what you mean by stable.
AFAIK, The term "stable" refers more to the fact that the codebase itself doesn't have major changes made to it.
But fedora updates to the latest version including the kernel, So it totally negates any kind of stability whatsoever.
Fedora 18 already have around 10000 package updates, even before the beta is released. What is the point of having old packages getting released on january 2013 when you are anyway going to update to the latest version.
I use archlinux and Fedora in my systems and never found Arch crash becoz of some software upgrade. It always has been smooth. Its no way inferior to Fedora.
If anyone tries to use fedora on their production servers they obviously need some education on how to handle servers.