The only reason that I can think of that they might want to look up articles about themselves would be to find out what LE already knows about them. If they had been to the apartment, then the neglect and death would be obvious and they wouldn't have to look that up. Does this potentially mean that they are guilty of additional crimes? JMO.
They see the infamy of news articles as equal to the posturing on social media. There is no shame or morality involved. They feel good about it like when they get likes on instagram.