Remember the time when Boozer was out was when Bogans blew goats and Brewer was starting the season injured. A decent SG would have really helped during that stretch, probably about as much as Gibson did.
My view is Noah can play some PF, Deng can play some PF, it depends on match ups. You wont have them play 8 minutes each at PF every night, but those are averages. Some nights Boozer will play more than 32, most good players MPG averages are misleading because they play more when it matters and rest in one sided games.
I certainly would rather keep Asik, despite being a foul machine he's still able to play similar to Gibson's 23 minutes a night before fouling out (he averages a foul every 6 minutes, not every 4). Plus he's the only backup center going forward, as mentioned above other players can fill in at PF, Gibson or Boozer at center just hasn't worked sadly. I also think he's going to be a better player than Taj anyway, his size allows him to have more of an impact on defense, and although Taj has a jumper it's been going in at such a low rate I think I prefer Asik's policy of dunk or pass.
I didn't say trading Taj was my preference, obviously I'd prefer not to disrupt the rotation, but if push comes to shove and a team wont deal unless the deal involved Taj then yes I do it. The new CBA might limit our options to improve through free agency, so if we can get a SG right now we should do it.
I don't even like Mayo that much, I've called him a poor man's Ben Gordon (or a Detroit man's Ben Gordon) in the past, but even at that sort of level he offers more to the team than Gibson does simply because of fit. The Bulls are at the point where fit matters more than winning every trade.