Personally, I run Linux as my daily driver and I hope game developers see the success of Steam's Linux support and decide that targeting Linux is viable and worth doing. But I wouldn't assume that building for Stadia necessarily has a big overlap with building for consumer Linux.
That could lead to better driver support (at least from Nvidia :| ) on 'nix, and so on and so forth.
Sure the distance is smaller then starting with the Windows or Xbox/Playstation versions but there is still a lot of work to get it to work on any random pc someone builds.
I understand, and agree. Exposure to Vulkan, Linux, and the related optimizations is helpful and I personally considering it a bonus and assume it will have downstream benefits (maybe im delusional) for gaming.