If the goal is keep Quinn Hughes, Norris is an understandable target. They're buds, played together at Michigan, etc.
Norris would be a good second line center. Good playmaking, good shot, good skater. Not sure about his play off the puck/defensively. He got a big contract, then got injured, missed a season and it seemed to set him back quite a bit. He's a bit overpaid, but very likely will seem less overpaid in future years as the cap increases -- and he may yet get closer the the points pace he was developing before the injury, when he looked like he may become a point a game guy. Frankly, he's been a better player over his career than Dylan Cozens....
Don't get me wrong. I don't think this makes any sense as a one for one. But as part of a deal where JT or Elias goes the other way? Its not a terrible target if you are resigned to not getting the best player in a deal. And Ottawa isn't a bad team to talk to. They may very well conclude their are one star away from fighting for a playoff spot to fighting for playoff success. In fact, it might be worth it for them to throw more chips into just making the playoffs. Its been a long time, and lots can look good when its been a long time....