The difference between Ghostbusters' code of conduct and that of a real police officer could be clearly seen from such a response.
It was impossible for the police to force criminals into densely populated universities and then wait for the murderer to strike again before arresting him.
Although the term "University student" had been depreciating in value with the continuous expansion of university enrollment over the years, no matter what kind of news it was, labeling a "University student" in front of it would still instantly arouse the public's attention.
However, ghost messengers don't have such a concept. They don't care whether or not people will be sacrificed because of it. What they need to do is to control the influence of supernatural events as much as possible.
Even if that thing kills another person in college, as long as it can be caught so that it cannot continue to do evil, it will have done its duty.