If Boisvert is still on the board at #20, Hawks would probably just pick him. The value in the trade isn't bad. But the Hawks would have zero interest in Del Gaizo. And not certain Fabbro is a player they'd trade down for either.

I think you're giving up too much to move up two spots in draft. If Trotz wanted to move up at that point, using draft capital is probably the better way to go. CHI isn't going to want roster pieces, unless they're vet rentals that will help them get to the salary floor, that they can hopefully flip at the deadline. CHI is still a few years away from trying to improve their on ice roster.

I don't like the idea of trading Lauzon, if it requires tying up the last retention spot for multiple years.

There should be much better options than Boisvert at 20th OA, and I doubt NSH would have to trade up to get him, if they really want him. Also, CHI would have very little interest in all of those players you are sending. I probably wouldn't even pay that 3rd round pick for Fabbro, honestly. Some team might, but CHI seems to be only interested in large bodied players on the backend.