As a chiropractor we are pretty much against most surgery and drug treatments especially when conservative care will work. I have always believed body parts actually work better if they don't cut them out and they remain in your body.
That being said you have to access what it is that you like to do that is your passion, and makes you happy versus what injuries it has caused or can cause.Those are the most important considerations for opting for surgery on a labrum tear.
Some people who are not real active with their arms and shoulders can do fine without surgey with a labrum tear.Others can't funtion at all.Very active people who pack,climb,snow and water ski,throw a ball,etc. will find it very difficult to opt out of labrum surgery.There is no definitive one size fits all answer.