The GNU/Linux distribution, not the hat, I might add.
So, like. The way this thing works is that first you remove (or just forget about) Gnome, and then you install your favourite window manager, and then you add at least the rpmfusion repositories (and possibly others depending on what special things you want to install. In my case these are bumblebee, google-chrome and adobe flash player).
Then you set up any specialities you want for your special hardware; in my case it was setting up bumblebee for the GPU and setting up some key bindings in acpid for controlling the screen brightness and disabling the default power button function. Then you fight with SELinux to make it allow what you just set up.
Then you… use it happily for a year, apparently.
It’s working fine and all the software is still very recent. At some point I should update to the next release and that is a bit frightening – but so far so good.
Unsurprisingly there are some hickups with the more exotic hardware I have; mainly Bumblebee tends to break when the kernel is updated, and the WLAN driver is fiddly. However, those are upstream issues and they won’t work any better in any other distribution so can’t really complain.