There are plusses and minuses for both operations. Closed surgery with an arthroscope is less invasive. There’s a reduced risk of getting osteoarthritis in that shoulder later.
The down side of the closed repair is a higher rate of recurrent dislocations or subluxations (partial dislocation). Researchers report about seven to 17 percent of the closed cases have this problem. Only three to five percent of the open repairs partially or fully dislocate.
Many surgeons advise using the closed repair for young patients or extremely active patients. It sounds like you might be in this group. Your surgeon will probably make a recommendation for you based on your age, the injury, and your goals for rehab.