Working at a well known course so you can put that course on your resume seems to work very well up here in the northeast, even if that person only syringed fairways there. Guys with strong backgrounds are getting passed up for assistants who have these courses on their resume and might not know the first thing about running a golf course on their own.
In any event, education is obviously important. The focus might not have to be on turf 100% though. The way the business is today, having a little background in business or finance along with turf will make someone stand out. Clubs are always looking for a guy who knows agronomy, but proving fiscal responsibiltiy will be a big plus to the hiring committee. Varied backgrounds is also a plus...work at different clubs with different budgets. Even working for a pro in your younger years so you have experience with how that operation works can help. Work hard, be honest, and soak up as much knowledge as you can. Also, LEARN how to interview. Very important.