I feel like even if we went into that series healthy, we'd leave the series decimated
The Cavs aren't the Heat for the last four years. And the Bulls only had a shot (health-wise) in the first of those four years.
And the Bulls are far more equipped to do damage in the playoffs than they would've been (with a healthy core) in those previous four years, this year.
In 2010-11, The Bulls only had Rose who could get his own shot. In 2014-15, they have Gasol/Mirotic/Butler/Brooks. Offense then versus now is night and day.
Cavs, though slightly improved on D since the trades, are still a below average defensive team.
Cavs have a first year coach in the NBA. Two of their three stars have never been on a winning team before. And we saw how they struggled in the regular season to start the season. Of course, they are not going to be 100% prepared to win in the post-season, either. Right away, that is. I am convinced that this isn't Cleveland's year, and it will take more than one playoff run for their core to learn how to win a championship. A lot of people compare the Cavs now to the formation of the champion Boston Celtics in 2008. But Ray Allen (Bucks), Kevin Garnett (T-Wolves), and Paul Pierce (Celtics) all had playoff experience and decent playoff runs as leaders of their prior/former teams.
Now look at the Bulls. Those Celtics are dismantled and the Heat (Wade+Bosh being far better, in my opinion than Irving+Love) are, too. Their road to the Finals has never been easier. On top of that, their team has not been more ready to win since 1998. Rose is one of the better point guards. If their core guys of Rose+Butler+Dunleavy+Gasol+Noah+Taj+Mirotic get a good series under their belt versus Milwaukee or Washington, I think they are likely going to beat Cleveland.
Note: I said "if" and, yes, "likely".