As of 2018 there were about 11M people residing illegally in the USA. That number has probably risen significantly in the past few years. Regardless of one's opinion on immigration policy it's clear that this increases demand for housing.
https://www.dhs.gov/ohss/topics/immigration/population-estim...
In my area, illegals tend to occupy low rent housing in rural areas, and there really aren't any shortages in that market. Mobile homes and places to put them are are readily available and reasonably affordable.
Illegals make such massive contributions to the construction industry that their impact on the supply curve should more than offset their impact on demand