According to the Martial Law Act, there's an extra power by the martial law commander to move the military as they want.

Some translations say "guarding martial law" instead of "precautionary": https://elaw.klri.re.kr/eng_mobile/viewer.do?hseq=45785&type... "Once guarding martial law is declared, the martial law commander shall have authority over the administrative and judicial matters concerning the military of the area where martial law is declared."

But this time it was the emergency one.