I've never honestly seen Microsoft interested in gaming.
Then you weren't paying attention when the original Xbox debuted, nor were you paying attention with the Xbox 360's launch era. J Allard and Robbie Bach cofounded Microsoft's Entertainment and Devices division, and they were passionate about what they did. Xbox 360 launched with developer friendly tools, cutting-edge powerful hardware that was easy to develop for, and a cohesive, well-thought-out online gaming infrastructure that made PSN look like a giant clusterfuck when it debuted, and the achievement system that has become very loved by the gaming public. It was so loved that Steam added one of their own, MMOs have incorporated them, and Sony shoehorned in one themselves.
The RROD was nasty, but that had more to do with the inability to use lead solder due to European Union requirements, which engineers failed to account for in both Xbox 360 and PS3. The PS3's YLOD is a bit of an issue in the fat models, and it's the same core problem for both platforms with the lead-free solder and the inability to transfer heat from the GPU effectively. For the record, I'm on my second Xbox 360 and PS3.
Microsoft actively courted Japan, desperately trying to get JRPGs onto the platform. They had limited success, but for a time during the first three years or so, the Xbox 360 had more JRPGs than the PS3 did. We can debate the quality of some of the titles of course, but Tales of Vesperia, Star Ocean 4, Lost Odyssey, Blue Dragon, and so forth were all available on Microsoft's platform. Some were ported to the PS3 over time, but some were not. Mass Effect was a thing thanks to Microsoft Game Studios putting forth the money as publisher.
You can argue the company's various missteps, but I don't see how anyone can say that Microsoft wasn't ever interested in gaming. The evidence is there showing otherwise. Hell, look at the reviews section for both platforms. The list of available RPGs to play is respectable for both.
Allard and Bach both left Microsoft at the same time back in 2010. It pretty much screamed "uh oh" and that the bean counters had taken over. The end result is... well... pretty much what we have now. Xbox Live, instead of innovating online gaming and staying ahead of the competition, has been surpassed by Sony's PS+ because Microsoft stopped working on new features. Xbone was debuted with a focus on people that watch sports programming. The platform doesn't have mature development tools. The hardware isn't particularly impressive.
So yeah, Microsoft doesn't give the impression that they're interested in gaming anymore. But they definitely used to be.