Probably, but I know that at least in the past, their philosophy was to uphold Windows as the one gold standard at all costs, and I doubt that has changed.

It might be one of those non-authentic quotes, but I heard that Steve Ballmer supposedly once said, that they’d rather have people pirate Windows instead of using another OS. No matter if that is an authentic statement - there is a real synergetic effect: If everyone is used to how Windows works at home (even if pirated there), then any potential employer will want to have Windows licenses for their IT and office stuff, which is where the main money lies. That’s one of the reasons Microsoft has been so furiously anti-competition, because their main advantage is being the de-facto standard, and being the only proper gaming system became a part of that strategy, with attempts to further lock-in any gamers into their ecosystem if at all possible (some of which thankfully failed).

So I think making an app for Game Pass for Linux won’t be in their interest any time soon, unfortunately.