Speaking from a city (Auckland) where house prices have sky rocketed this hasn't happened yet.
Prices in the area I live in use to be $100k-ish for a 3 bdrm home 10 years ago. Now they're $760k and I live >30 miles from the CBD.
Teachers salaries have continued to get "cost of living" increases and we have news stories like this popping up all the time: https://www.stuff.co.nz/national/education/102707618