No you haven't. You've shown that you can run Linux with highly competent admins in an organization that can outsource non-Linux tasks.
Any organization can outsource Linux administration to competent admins. Quite a lot of small businesses already outsource their Windows administration (at fairly high expense, I might add.)
And yes... my company does outsource things like payroll and tax filing because other people do it far more effectively and cheaply than I can do it. It makes sense to outsource that to people who are good at it rather than try to do it myself, especially on Windows. It's a pure business decision.
It might be a news for you, but most businesses are not IT-related. They treat software as a business expense - like office chairs or printer paper.
In my consulting days, I set up a lot of Linux machines for businesses exactly as you describe. They were of course servers and firewalls, not desktops, because the businesses already had a significant investment in Windows. However, a small business starting from scratch with no computers at all could get by just as easily on Linux as on Windows, and far more cheaply.
I think that all Linux fanbois should be forced to spend a year working with a well-supported Windows network and a year working with an average MCSE. It'd greatly improve the general quality of Linux software offerings.
I think you need to be less closed-minded. You need to think outside the box and see how Linux tools enable you to get things done. You need to think of tasks that need doing instead of specific pieces of software. Use some creativity, if you have any.
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