This means there is a huge incentive to create spectacle out of arrests. So, that in case the field office lags behind, they can always point to the photo op - See how hard we were working there?
This might not hurt the government politically because supporters can see those hard hats and exclaim - See they were wearing hard hats, how were they not breaking the law?
But at the cost of creating an unnecessary diplomatic crisis. Even if there were visa issues, this puts South Korean government in a bind - they need to answer to their constituents. Being seen as incompetent and unable to save its citizen abroad is a sensitive topic in many countries.
Investments might be impacted as well. It seems to me that many Trump supporters think international politics requires blustering. But much of the work happens behind the scenes.