Er... no. Simon Blanchard is super-productive (although not classic quant), and Tatiana Dyachenko is a very good Bayesian modeler. And some of their CB people are exceptional researchers, like Hamilton.
Georgetown seems more a teaching oriented place with no quant people. BU seems uprising in research in recent years especially in CB side.
Which group is higher ranked BU or Georgetown?
SB is not quant. By any standards. Adding some math to behavioral questions does not make you quant.