I ask and starting this thread because I felt that it would be very important to discuss it.
Because I just got Fortnite to run on my current Linux distro, KDE Neon, with the latest 21.1.0 CrossOver, which is huge considering that many people were not able to get the game to run because of the implemented anti-cheat.
In CrossOver's current state, installing the Epic Games Launcher is pretty easy, just download the launcher from the website, and install it in a new Windows 10 64 bit bottle.
What I did after installing the launcher, was installing a whole bunch of framework software that I think might be important for games and softwares to run, this included dotnet (2.0 to 4.8, anything that can be installed in 64bit), and the Visual C++ Redistributable (2005-2017). I did something similar with Origin back when beta testing CrossOver 19.0, which now works out of the box.
So back to FN. I can get into a match, but there is a LOT of lag, and after a while, the game crashes. But this is still something, as now there is potential for an out of box support of anti-cheat softwares in CrossOver and WINE in general, after some polishes and tweaks, I'm sure.
Here is the tricky part, make sure you enable DXVK Vulkan backend for DX11, or FN will have major graphical errors including flickering, but make sure you disable it if you want to look at the Epic Game Launcher, with DXVK Vulkan stuff enabled, the launcher UI will flicker.
After FN crashes, there might be a chance that in the launcher, it is shown to be stuck as "Running", even after you simulated a system reboot and exiting the launcher. To resolve this, open your CrossOver program, and go to the bottle that you installed the launcher in, and use task manager to find something like that starts with a "CrashReport" in the process tab, and FN should become able to launch again.
One last thing, do not touch "Windowless Fullscreen", I tried switching it to Fullscreen, it messed with my monitor setup. I have a laptop hooked onto a secondary display, but I have the laptop screen disabled and only using my distro on my secondary display, when I tried to switch to Fullscreen in FN, the game automatically switched to my laptop screen, and froze, after a while, the game crashed anyway, but it didn't revert back to my secondary display. I had to manually set it up all over again.