In general, campus career centers provide services to current students or those who graduated recently, usually in the past 6 to 12 months. But at the University of Colorado in Boulder, the career office was forced to add an extra staff member to help its not-so-recent graduates. While some campus career centers charge alumni nominal fees ($25 - $50) for their services, Boulder keeps its alumni assistance free.
State University of New York at Albany is another campus the article says has seen a sharp jump in requests for help from alumni. SUNY Albany's career center says the number of counseling sessions with alumni has jumped 28% in the past year. Rutgers University in New Jersey also provides career assistance to its alumni, and even held a speed-networking event where they introduced unemployed alumni and students to employed alumni with the aim of helping them find jobs.
For the universities, the motivation to open their career centers to graduates is more than altruistic. As the Times article notes, these interactions help campuses keep in touch with alumni so that they can hit them up later for contributions once their former students land jobs.