Aside from the usual "we promised the customer we can do X; whaddaya mean you need 8 months to make it happen!?" ... here's one of the anecdotes:
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The company makes numerous products. Some people in one of our other locations made a new product, and it was being demonstrated at some kind of trade show. So Marketing has T-shirts made for the show, with designs that look like a Beetles album cover, and words to the effect of "Meet the Developers of new product".
Except, of the four or five faces on the shirt's design, only two belong to people who actually worked on that product. Another one or two are developers from a different team; and another one is one of the QAs on my team. This particular QA, I might add, has a ... let's say it's an unprofessional-looking face and leave it at that.
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Conclusion: our Marketing department is stupid, therefore I'm not surprised that other Marketing people are stupid enough to buy into the glamour of digital nomadry.
But, it sounds like digital nomadry is a tool being misused like other tools in this Dilbert-esque environment you work in. How do I get a job in this marketing dept.? I have NO experience in marketing, but my common sense is good half the time. I'm sure I can make fewer blunders than the current team.