For the most part, MS does not need to do any lobbying in my experience. MS software and Office suite is generally the default for anyone who has not been particularly tech interested or worked in tech related fields.

Especially in terms of government/public type domains, almost everyone defaults to MS because it’s what they’ve always had, what everyone else has or they don’t know what alternatives there are.

The few to choose otherwise usually go for Google Suite, which in this particular case probably would have had the same result.