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It only works because that's the schools dated and closed ecosystem

Because they run Windows? That's a bit myopic.

I hate to break it to you but MS Office is here to stay. There are no good alternatives to it for the average user.

Are there actually any schools that don't use Microsoft products?

Nearly all the machines at my university are Windows machines. The CS department has Linux machines in the labs (alongside Windows machines). There are a few Macs around, but all the other machines run Windows. My job also provides Windows machines almost exclusively (there are some Macs and tablets for testing).

Or "Here's An Anecdote Completely Unsupported By Any Data"

That's correct, and probably why Windows RT has such a small portion of the tablet market.