You would die rather than move somewhere cheaper? What an odd take. I live in the midwest and pay $700/mo for a perfectly fine apartment in a clean and safe suburb.
Housing is expensive in Canada, but it's absolutely not uniform. $2500/mo starting is crazy, which city are you sourcing these claims for? I live in a major city (but not Vancouver or Toronto, obviously) and if you're just trying to survive, you can live with roommates for $700-900, possibly less depending on your luck. Apartments, studios and other types of housing for one are about $1500 and up. Then you can go to Quebec and enjoy slighter cheaper housing still, even in the big cities. There's some middle ground between downtown Toronto and some mining town in northern Manitoba.
In this theoretical scenario where AI displaces everyone, the only thing with value will be housing and physical necessities, so I think housing prices will go up.
Best choice would be moving up north and slaving in a mineral mine along with everyone else that lost their jobs. Like the 1920s.
I don't see myself being qualified for such a role since I am too short and don't have the physical leverage.