Microsoft is a company, suggesting a company "Loves" anything is a misnomer. I say this because I sort of disagree here, but only kind-of.
Microsoft embraces ("Loves") the parts of Linux which are compatible with Microsoft's strategy. Linux on Azure is getting quite huge, it's the difference between Azure existing as a profitable business for Microsoft and Azure being a cost center. Microsoft does a fair amount to embrace Linux on the server, they support Docker, they do a lot of work with Node, and have a fair number of people onboard doing Linux specific stuff.
Linux AD & Office are only really important to desktop deployments and Microsoft has zero strategic interest in the Linux Desktop. If Microsoft were to port Office & AD to Linux Desktop, it would be an act of charity. If Microsoft is doing charity work, there are a lot of projects I'd like to see them invest in before AD and Office on Linux.