Long term I see housing collapsing and going negative maybe around 2030 (ie countries like Japan/Spain/South Korea) paying foreigners to move into akiya, it's a compelling case for young remote workers in the US who have been priced out of the real estate market in nice cities en masse to abandon their landlords in favor of something like this.
The anti-foreign NIMBY reaction is going to be curious.
From a national, demographic, and budget perspective, this has to happen for many countries (quickly, at large scale).
From a local, cultural perspective, I see people being very resistant (relatively speaking wealthy, culturally-ignorant foreigners moving in in large numbers?).
In democracies... that's going to be an interesting mix. Especially when current residents are the primary voters.
I expect we'll see more successful countries form political alliances between immigrants and parties pushing for more skilled worker immigration.
I think it will stay multimodal market. Some places will continue going up, that is the most desirable and most supply limited cities. Some will follow inflation, that is smaller well planned towns that can support themselves, but aren't in massive growth. And then in some places will or already have negative value. Like some "HOA" in Finland being unable to get loans for basic renovation and having to demolish house. With owners being left with debt...