I guess you mean the shape of the countries doesn't change much? iirc the majority of Earth's population lives on coastlines, most major cities will be inundated
People won't move just from a little water in the roads (just look at Miami), I think even in the year 2099 you'll have a hard time getting new yorkers to move to ohio, but once a storm comes through and destroys their housing they will have to find somewhere else to live.
I think insurance may be the main driver for when people actually decide to move. People are pretty resilient, but if you can't get a home loan because you can't get insurance, people won't keep living there.
That generosity isn't endless.