Remember predictions that higher sea levels were causing islands to disappear?

Smithsonian in 2004: "Global warming threatens to swamp a small island nation"
PBS 2005: "Tuvalu: That Sinking Feeling: Global warming, rising seas"

According to PBS all the scientists agreed with this:

The scientific consensus is that global warming caused by carbon dioxide emissions and other "greenhouse gases" is causing rising sea levels around the world. Climate change experts predict that over the next hundred years the sea level, on average, will rise between six inches and three feet.
If so, Tuvalu is doomed, and many coastal areas around the world will be submerged.
Which is why the 9,000 inhabitants of Tuvalu have become this century's version of the canaries in the coal mines, and why FRONTLINE/World reporter Elizabeth Pollock ventured to these remote coral atolls south of the Equator. Is Tuvalu drowning?
On a Fulbright scholarship, Pollock spent a year in the South Pacific, making a documentary with her husband about the effects of global warming. . . .

Now 2018 Phys.org: "'Sinking' Pacific nation is getting bigger: study"

Note that because of erosion islands tend to get smaller over time.  Unless there is continued volcanic activity, wave action and erosion from rain will cause islands to disappear, yet, this island is getting bigger.

In any case, even if island was disappearing because of higher sea levels, wouldn't it have been a lot easier for people to move than change the rest of the world?