I agree with those who say every team encounters injuries, but not every team encounters as many severe injuries as the KG-era Cs.
Rose's injury last year was the only season-altering injury these Bulls have had to work around.
Cavs (with LeBron): none
Lakers are the only team that's come close to us in this regard—Bynum a couple times, and I guess you could argue for Howard this season (he's far from 100%).
So yes, OP, you are right about the Cs having an awful dose of bad luck with injuries over the last 30 years, particularly when you consider the two deaths.
Oh, and I just remembered: Green missing all of last season with the heart problem, and Wilcox missing most of the season for the same reason.
It would be really sweet if the next great Celtics era (please come soon!) was mostly free of this crap.