Let me put "ports" with quotes. I've played the Windows version of DOOM (2016) in Linux with same performance and didn't do anything special other than copying the configuration that had Vulkan enabled. I can imagine devs just enabling a checkbox in Steamworks to deploy to Linux automatically using Wine.
And then, there are runtime considerations like where you store the player data, cache files, and the case-sensitiveness of the filesystems which many Windows developers are completely unaware of.
So no, Vulcan doesn't give you "zero effort" Linux ports.