I think SteamOS and/or Steam-Machines were that bid. Both seem to have been deprioritized and now Proton is a fallback.
I'm sad to say that Windows will likely stay this way for the foreseeable future. The additional test/QA work required in order to make additional platforms (linux, macOS, etc) have to have a business case associated with them. You could imagine the developers writing the game on linux, building and debugging/running locally on linux, but testing and shipping on windows. So even if the games work well on linux, they won't necessarily get a release.
The only thing that might change this balance would be if somehow PC-style games would target Android, or if Android would somehow become some kind of desktop OS. Both seem infeasible to me now but something could change.