Hyperlaxity is absolutely NO guarantee of staying injury free. This is something those yoga nazis don't understand.
You probably already know this but just in case you don't, it bears mentioning: the shoulder socket (glenoid fossa) is a smaller than the head of the humerus (the upper arm bone). Therefore, it is critical that you keep the humeral head centered within the glenoid fossa as much as possible. This is the primary role of the rotator cuff complex (infraspinatus, teres minor, supraspinatus, subscapularis). So BBB is correct in that you need to strengthen those muscles. Also do not neglect the scapular retractors (rhomboid major/minor, mid traps) as well as scapular depressors (lower trapezius). The importance of being able to pull the scaps toward the spine and push it down cannot be stressed enough.
Also look into what the cutting edge PTs are doing in this subject. Mike Reinhold and Charlie Weingroff come to mind.