||Ideally, and historically, that is true. However, I've been noticing that when times are not quite so rosy the managers start trying to be very targeted on the skills then need now. This appears to be a combination of the assumption that there's a lot of folks on the market with good skills, and that with lean times the company cannot afford a learning curve, even for a good generalist.
Fortunately there are still many managers that understand that an employee (as opposed to short-term contract workers) cost the company a lot to bring on board and it is worth looking for the capacity to learn rather than specific skills.
I always used to be amused at the level some managers would take this however. At Bell Labs, you'd see a posting for a "lab rat" -- someone to string cables in a lab and do other "operations"-like duties for the researchers. The post would specify a minimum of a master's degree and prefer a PhD because they still had that eye on developing the individual beyond the immediate needs of the job.