Finance is a major that is oriented towards high prestige aware career paths like IB, VC, PE, etc. Manhattan is not considered a prestigious or target school. Certainly a respected school but not elite.
Consequently, Manhattan’s dissuading students from majoring in Finance makes sense given the peculiarities of their circumstance and the likely inability of their alum to place in certain fields. Finance majors from schools such as Stern or Wharton however remain highly sought after by the aforementioned prestige aware employers.