That's not the academic consensus. It's a non-peer-reviewed working paper that contradicts the academic consensus.
The authors are clear about this:
"The standard view of housing markets holds that differences in the flexibility of local housing supply - shaped by factors like geography and regulation - explain differences in how house price and quantity growth respond to rising demand across U.S. cities... Our conclusions
challenge the prevailing view of local housing and labor markets"
The authors are clear about this:
"The standard view of housing markets holds that differences in the flexibility of local housing supply - shaped by factors like geography and regulation - explain differences in how house price and quantity growth respond to rising demand across U.S. cities... Our conclusions challenge the prevailing view of local housing and labor markets"
https://www.nber.org/system/files/working_papers/w33576/w335...
edit: I do think it's a good paper!