US Military Lacks Legal Authority To Prosecute Third Country Nationals for Crimes

I wonder how USFK would treat a similar case of theft by a civilian in a situation like this?:

On March 6, a large sum of cash was stolen from a slot machine room at the Navy’s largest base in Asia.

This wasn’t the first time money had gone missing from a Navy entertainment facility in Japan. In 2010, $67,000 went missing from a Naval Air Facility Atsugi club. Only a few civilians had access to the cash, but no one was ever arrested.

Navy officials in Japan say that while they can make it hard to steal and even harder to go unidentified, a determined thief is going to have opportunities at entertainment facilities, which are primarily operated by civilians who, unlike servicemembers, do not fall under the Uniform Code of Military Justice.

When crime prevention among civilians fails, the question then becomes whether federal officials will prosecute them. Unless the crime is violent or particularly noteworthy, the answer is probably not.

When criminal suspects fall under the UCMJ, custody and prosecution become straightforward legal matters. If the suspect is a civilian, custody may become subject to international accords and possibly extradition agreements, which can take months or years to find their way through the courts.

Sources familiar with the March theft at Yokosuka told Stars and Stripes that a suspect is a third-country national admitted to Japan. If the suspect is still in Japan and off-base, the U.S. has no jurisdiction to make the arrest and would need assistance from Japanese authorities.  [Stars & Stripes]

You can read more at the link, but if the military lacks legal jurisdiction than why was this person allowed on base in the first place?

Anyway speaking of slot machine scams, does anyone remember this case of the Korean woman who made $1.2 million signing people on to post to gamble on Yongsan Garrison?  As far as I can tell nothing happened to her either other than losing pass privileges.