Microsoft is very, very far from "desperately trying to stay relevant" in the realm of business software but I also wanted to point something else out which pretty much wrecks your argument.
Have you ever been to Twitch.tv? It's perhaps the biggest thing in gaming right now and guess what desktop OS everybody runs there if they're not running a console?
Oh and if they are running a console, guess what half of those consoles are?
That doesn't really "wreck" my argument. Twitch.tv might seem big in your world, but in the overall computing space it is absolutely tiny. Minuscule.
But yes, lots of people game on Windows. Lots of people have Windows installed. You seem to think that is a counterpoint, and I daresay it comes from a terribly naive perspective.
Have you ever been to Twitch.tv? It's perhaps the biggest thing in gaming right now and guess what desktop OS everybody runs there if they're not running a console?
Oh and if they are running a console, guess what half of those consoles are?