Well yes, but why "negatively polarized"? Gentrification is just a somewhat derogatory word for "amenities that attract people to want to live in the area". It doesn't have to mean increased prices; that will depend on how easy it is to build real-estate there. A place can be perfectly "gentrified" in the amenities sense and be just a quaint, high-density town or neighborhood with average or even low housing costs.