The latest release of the Vulkan beta driver for Nvidia, version 396.54.02, seems to have finally fixed the last flickering issues in combination with DXVK for EVE Online.
The flickering can be seen here:
Nvidia Vulkan developer web page:
Download link for 396.54.02: https://developer.nvidia.com/linux-3965402
This now gives me the best possible visual experience under Linux, free of any visual glitches or artifacts, for EVE Online.
Update: this may have been a little bit too early. Now the flickering on the HUD in the first person view is gone, but it appears that the centre HUD only scrolls into one direction when it should scroll up and down. I’m not sure if this is supposed to be, but it looks wrong. Well, at least it doesn’t flicker anymore I’ve compared it to EVE under Windows and it appears to be a normal behaviour.