According to multiple sources, this is mostly true. One of the men arrested in connection has an extensive criminal history, with numerous arrests related to theft. He also had ties to other individuals who have been connected to the case through DNA found in the truck used by the thieves. Two other members in the case were already under supervision by the police, and both resided in the same low-income neighborhoods in Paris. Because of the locations the individuals lived in, investigators don't believe them to be organized criminals. (USA Today)
According to the French police, the woman and man most recently charged are romantically linked. With the variety of low-level theft charges among the five suspects, investigators were surprised they were able to successfully carry out the robbery, which took place in just eight minutes. None of the stolen items has yet been recovered. (Time)