I've endured and recovered from two separate incidents of "bulging" (aka herniated) disks. Both from sports.
This is not good. At all.
Recovery is almost always very slow. Risk of re-injury or re-aggravation is very high -- to the point, that, without surgical remedy (and even with) many orthos will pretty much say you will never be the same (ie injury free again) continuing your sport.
In my case, it was grappling. I can't imagine the physicality and rigors of pro ball is much different in terms of the trauma.
Obviously, Amare isn't going to just stop playing. So every stop will be pulled out for a full recovery.
But the long-term risk of constant re-aggravation and injury is very high. The chance of requiring surgery or major descaling of minutes in the short term I'd imagine to be pretty high.
Everybody is different, though. Some people are freaks -- most pro athletes are, and their recovery is much different than a normal person. Of course, the trauma of many pro sports trancends any normal person's too.
And, Amare is pretty much 30 -- especially with a bone/disk injury, the simple facts of age always work against you and your prospect of recovery/re-aggravation.