It's pretty easy, if Chicago starts sniping RFA's, not just from Dallas, one, they've now inflated every RFA contract for their own team.
If Bourque is getting a 4.3m AAV contract from Chicago, Kurashev is going to be too, as will Riechel and Nazar (at the minimum) as they are producing around the same as Bourque, they'll have a comparable as well.
Then you have the risk of an offer-sheet that walks Bedard right to UFA.
Sure they would match it, but they are not buying UFA years then and are losing control of the player at the time their window might be opening.
It's a risk most teams don't take, not because they can't snag the player, but because repercussions down the line aren't worth it.
Could they, sure, should they? sure probably, if only because it might force Dallas to move on from Marchment. Will they though? I doubt it.