They're not going to trade Smith considering they just signed him. Would not help them to sign free agents going forward..
While uncommon, I doubt free agents would NOT sign with Boston because they moved Craig Smith after signing. This is professional sports, it's part of the game. And while not the best look, it's hardly a slight to Craig Smith, if anything it speaks volumes to him that another team wants him. Depending on who the Bruins add this season, I could see Smith being the one exposed to Seattle, if Bruins are chosing youth over him.
If a deal comes along and it improves the Bruins and Craig Smith is in the ask, there should be zero hesitation to have that go through.
That said I'd say the Bruins are content with him so far, but not to a point that he has more value to other teams than he would to us. So I'd say most proposals are either too lopsided/unrealistic to the Bruins or just too lateral in general to justify involving him.