Just to be clear, there's a link, however light, between the two. Modern medicine has done wonders to extend both the length and the quality of the careers of the former, but has yet to eradicate the suffering of the latter. Injuries are, have always been and likely will always be a part of basketball, if for no other reason than the sheer physical demands that are part and parcel of the game itself.
According to Bleacher Report's Jared Zwerling, major injuries aren't any more prevalent than they used to be. This comes contrary to the perception created by the significant setbacks that have hindered—if not outright derailed—the careers of All-Stars and franchise cornerstones in recent seasons.
As it happens, you could field an awesome team from the pool of players who either have or will have missed two or more consecutive weeks of games on account of injuries in 2013-14. Some, like Phoenix Suns phenom Eric Bledsoe, have sat out at least a fortnight in total, but not yet as a single chunk of time—and hopefully never will. A host of others (most notably Dwyane Wade and the San Antonio Spurs' Big 3 of Tim Duncan, Tony Parker and Manu Ginobili) have been withheld from action on occasion for strategic and preventative purposes.
Even with those disqualifications, this squad was all too easy to put together. Get well soon, guys. The Association isn't the same without you.