If you extrude a coastline into a wall the wall's surface area will blow up the same way the measured perimeter does, but that;s because you've turned a boundary-length problem into the area of a different object. It still doesn't mean the country's ordinary map area becomes paradoxical, the extra boundary detail only affects a vanishingly thin strip near the edge, so the enclosed 2D area stays well behaved.

Aha, so you've misunderstood my joke entirely. We agree about the math, please reread my original comment with the understanding that I'm insinuating that the article has deviated from "ordinary map area" and is instead measuring the fractal surface area contained within Estonia's perimeter.

[now that the joke is explained, feel free to laugh]