There's some hardcore conflation going on that assumes that people with technical skills will tend to be good at everything, or that they'll gravitate towards the uber-geeky stuff.
In my experience it's a very wide spectrum. Lots of programmers are strictly focused on the language they use and don't care to know anything about the OS, or networking, even computers. They are definitely not jacks of all trades.
There are people who can do programming as well as system administration and build a PC and build some book shelves and so on. But that's a very specific type of person who's a tinkerer and happens to be into programming, it's not because they're a programmer.