How important is the name of a school for you career?

Just how important is the name of the school you graduate from? My career goal is to have my own firm after some years of work experience. I have been excepted to a master degree run by a very, very well known architect (Pritzker price winner) but have second thoughts because it would take me two years longer compared to the other master I could do, at a quite good, more technical school. Thanks for your insights.