So, this "branding" is for what purpose?
If it is for strengthen the marketing, I think (at least at this point in
time) that the better would be focusing in making Fedora "that 'linux'
where everything works and I can do my stuff", and, after, "that really
cool computer system where I can do really cool stuff".
If it is for a instantly recognizable visual identity, then you
inevitably stay hostage of the thing that draws things on the screen (GNOME
Shell, for Fedora Workstation). The only way around is to put a logo in the
face of the user (GNOME Shell's top bar, because the Wallpaper can easily -
and will - be changed).
So, my suggestion to this topic would be:
1- Keep (really) focusing (harder) on making Fedora "doesn't suck".
2- Put a (symbolic, 1 color) Fedora logo somewhere in the GNOME Shell's top
bar (like macOS, like Windows 10's bottom bar, like Ubuntu's left bar,
[...]).
3- Remove logo from default wallpaper.