Just as there are dental students/predents who are strongly pulled to one school or another for the "name", there are patients who are impressed as well. How many times have you seen an advertisement for a dentist or physician and included in the list of credentials is "Harvard trained" or "Ivy League graduate". It's in there because it matters to some people.
I'll argue that just as much as it's silly to me to pick a dental school because of it's name, it's equally irresponsible to pick the cheapest school. It's a factor. Consider everything. But I would ignore the absolutest advice of those on here who say that cost is everything. NYU's a good school but very expensive. Are the nice facilities, world-renowned faculty, New York location, and more patients than you can handle worth that much more tuition? If so, come here and ignore the naysayers!
For me, I would come to NYU again over any other similarly priced school - pretty much any of the privates. I'd pay an extra 10, 20, 30, 40,000 dollars to come to NYU. However, I probably would have gone to my in-state UF had I been given the option -- an extra $150,000 over four years is too steep in retrospect, especially for the quality of education UF puts out.