How much of the rising rents are risk premia for future cases of "government says you dont have to pay rent and cant be evicted" that we experienced in 2020-pre

How much of the rising rents are risk premia for future cases of "government says you dont have to pay rent and cant be evicted" that we experienced in 2020-present? I'm curious if there has been a Natural Experiment comparing rent increases in places which did vs didn't have eviction moratoriums during COVID.