Climate Change Confusion

From the BBC: "Climate change: Rising sea levels threaten 200,000 England properties".
The picture nicely illustrates the point that they have clearly (and probably deliberately) missed:
Those buildings are clearly well above sea level and entirely unaffected by infinitesimal sea level changes. The problem is that the cliffs are made of mud or sand and are prone to erosion. If they were solid granite cliffs, there wouldn't be a problem. But they aren't, there is, and there always has been.
You could argue that 'climate change' means more ferocious storms (something quite different to sea level rises), which speed up erosion. And I could refer you to the The Happisburgh Village Website:
1854 White’s Directory for this year reported that the sea had encroached 250 yards in the last 70 years at Happisburgh.