I think it all depends on how you market yourself after the fact. I went to a private liberal arts school for undergraduate, a state school for my Master's, and I'm at another state school now.
I loved my undergrad education! Thank goodness I was on scholarship. I had to take out about $10,000 in loans my last year there, but it was worth it. It really cultivated a love of learning and a recognition of the importance of interdiscipline studies. Graduates nowadays have to flexible, adaptable, and they have to show competency in career SKILLS, not just disciplines.
If I had it my way, I would have preferred to attend my undergrad for many, many more years if they offered Ph.D. programs. I think the sad reality is in whatever order you attend fancy versus standard-fare schools, that you can pretty much bank on not getting as far with a B.A. or B.S. as you used to. I remember graduating from undergrad thinking I would be hot shit, only to find out that the job market just start sliding downward. I didn't get (or want) a degree in business or accounting, so I've spent the bulk of my academic life trying to get my interests solidified and coalesced into something workable.
In fact, I was told something rather valuable while I'm here. The professor said, "Look, Dee, you can study what you love to study AND study something that will get you a job." Some college out there is always going to need an instructor to teach kids about race and ethnicity, and I just happen to have a heart for collective political action of the urban poor. So, I can take comprehensive exams in both areas and work toward some research. I think students going to college now need to think much more about marketability. Honestly, with the economy being what it is and job stagnation, now is as good a time as any to think, "What would you love to do in x amount of years and how do you get there?"