Edited Mar. 18 at 1:17 p.m.
Hawks decline. The fit simply isn't there. First, as DangleCat noted, the one area the Hawks are loaded with prospects is at LD. They have Vlasic and Korchinski playing their first years on the left side, now - and they are firmly ensconced there.
Second, a rebuilding team like the Hawks does not give away 1st round draft picks, getting lower round picks in return. They don't need more, lower round picks; they want HIGH draft pricks.
Last, their forward group is where the need is highest (maybe apart from RD), so they are highly unlikely to want to give Hayes up - who himself was a high 3rd round pick in 2022.
This trade doesn't enhance the Hawks future; in fact, IMO, it impairs it on many levels. If Pickering were a RD, maybe there'd be something to talk about, but even then coughing up Hayes and a 1st round pick are probably deal breakers, by themselves...