If the EU were concerned about the US jurisdiction of Linux projects it could pick:
- OpenSuSE (org based in Germany)
- Mint (org based in Ireland)
- Manjaro (org based in France/Germany, and based of Arch)
- Ubuntu (org based in UK)
However if they didn't care, then they could just use Fedora or other US based distros.
I think it would be a good idea for the EU to adopt linux officially, and maybe even have it's own distro, but I'm not sure this Fedora base makes sense. Ironically this may also be breaching EU trademarks as it's masquerading as an official project by calling itself EU OS.