Since the Windows release of DOOM earlier this month, many have been wanting to play the game on Linux even though there isn't any planned Linux port. It's especially sad since this new DOOM game has an OpenGL and Vulkan renderer, so it's not too much of a trouble porting the rest of the code over to Linux. Similarly, many have thought since there is OpenGL support, it probably isn't much effort getting it running under Wine. Unfortunately, that's a pain as well due to the game's Digital Rights Management.
If you haven't tried already, DOOM won't run on Wine at all due to the game's nasty DRM. Fortunately, Wine-Staging 1.9.11 provides the first bits of work around supporting this DRM mechanism. The release announcement for Wine-Staging 1.9.11 mentions, "Besides updating the existing patches (including CSMT) to be compatible with the current development release of Wine, this release contains only a few additions. The most noticeable one is a patch to fix a crash when launching DOOM. However, this doesn't mean that the whole DRM protection is working yet, but it is a first step."
Hopefully Wine developers will be able to continue making progress on getting DOOM running under Linux. Or better yet, that there's a change of heart by id Software / Bethesda and we end up seeing a native Linux port... If it does become within reach of Linux systems one way or another, I'd certainly love to benchmark id Tech 6 on Linux.