You can see that in SF right now. Certain neighborhoods (downtown core) are seeing a ton of people leaving and other neighborhoods are seeing increased prices (further from core, higher % of single family homes).
Canada is facing surging real estate prices and while there are also masses of unemployed, few of those people had the money for home ownership anyway.
Sounds like I need to move to Oklahoma... I'm making about $44k in rural South Dakota but with the way housing prices have been around here the last few years, I am nowhere near being able to comfortably afford a mortgage (I can afford one, for a cheap, old, needs-a-lot-of-TLC-or-30-miles-out-of-town house, but not while also affording much else).
I find myself wondering if we could see the opposite flight too. If you've been completely alone in your countryside manor for the last four months, might you start thinking fondly of living in closer quarters with others?
BUT, it's really too early to know what effects this is going to have on the housing market. Right now, most unemployed people are getting fairly generous unemployment benefits. Meanwhile, in many states, you aren't allowed to foreclose right now.
Once the foreclosure moratoriums and unemployment benefits end, it's anyone's guess what's going to happen to housing.
Edit: my uncle is a contractor who builds multi-family residences. I remember he stopped building and moved to house remodeling when there was a building boom in 2006-2008, when he felt that his local market was being overbuilt (turned out to be a great decision in retrospect). Houses being built does not always mean a strong housing market. Plenty of home builders are short sighted.