Right. So where suburban homes are ticking up, urban living spaces are going to contract. Then does the contraction (i.e., lower prices and more choice) trigger people to not leave urban areas?
A lot of different factors come into play which I certainly don't claim to be able to predict--and will likely vary by city.
On the one hand, lower prices make urban areas/city cores relatively more attractive for those who want to live there. (I doubt living in the cores of top cities is ever going to be cheap; it wasn't in Manhattan in the 1980s.)
On the other hand, there may well be less need to be in a city for certain jobs. Furthermore, if city services are a mess, crime is up, and a lot of the restaurants and small businesses are closed, urban living may be less attractive.