"Fedora" is the name of our project. Our general-purpose
Linux distribution is "Fedora Linux". Let's refer to it that way in the OS
itself.
Does Fedora have some other product? A dessert topping? A floor wax?
Perhaps a hip new dance choreography, taking the world by storm? Is it
recognizable as a distinct trademarked item?
Overall, ust..... no. Deliberately breaking every ansible, chef, or
other deployment tools that check /etc/os-release for a consistent
operating system reference name is not a benefit to anyone.