Move a player that the org has clearly identified as a winger for a center. Once Cole's current deal is up if he continues on his current trajectory of being a mid 50 point player you are probably talking about a cap hit in the 6-7 mil range on his next deal so the contact is at least somewhat similar form 25/26 onwards. Technically the same amount of team control 5 years.
I can't say I would be super in favor of such a deal but as a hypothetical I think it's relatively balanced.
Perfetti is younger, putting up similar points, and his next contract will still likely be less than (or at least close to) Norris's. Perfetti also has 1 year left at 3.25, and then they likely try and go long term. So there will be more control with Perfetti as well. And he has no current shoulder issues that will likely follow him for his career.
The only plus in Norris's side is playing centre. And the Jets have Lambert and Yager (and possibly Lucius if he can stay healthy), as possible upcoming centres.
I wouldn't be against them looking into Norris, but it would have to be cheap and possibly with some retention for it to make sense for them to take on all that risk. At that point the Sens likely just keep the player and keep hoping he stays healthy.