During the cold war, the same could be said of Washington D.C. Even now, a surprise SLBM salvo can turn DC into a smoldering crater before you can say "get the president to the bunker".
It's prohibitively expensive to move a city, especially if the justification is "if we get really f-d, then we'll be a little less f-d".
The U.S.'s defense against an attack on D.C. was the assumption of a rational enemy, nuclear hardened command and control bunkers very far from shore, nuclear hardened ICBM silos very far from shore, continuously airborne nuclear bombers, and very stealthy SSBNs.
Really, South Korea's strongest defense is that an invasion by the North would instantly kill enough US troops to guarantee massive US retaliation against all military bases in NK, and would instantly kill enough civilians that China wouldn't retaliate as long as no US troops crossed the DMZ. Hopefully this is a big enough threat that a significant number of high-level and mid-level military leaders would stage a coup d'etat rather than follow orders to invade SK.
Edit: one would hope that the U.S. and China already have negotiated how much retaliation China will tolerate in response to various acts of war by NK. One would also hope that these details have been leaked to NK.