Actually really both are correct, it all depends on the individual as well as wht their activity is going to be. If a person is going to be snowboarding, skiing, and active sports enthusiast, then we usually recommended reconstruction for the best chance of returning to these activities.
Now if your activities are walking around and fairly low impact, not sports, then these are the people that can get by not having the surgery, and have intensive rehab and wear a brace and may get by with out having surgery.
But many times even these people will try and return six months or a year later and say that they still feel unstable even with the brace, and they may ultimately require reconstruction as well.
Also coming in to consideration is the overall stability of the joint without the ACL, some people have considerable hyperlaxity even with an intact ACL and if these people tear, we've noticed that these individuals usually require ACL reconstruction.
Now obviously this is also age dependent, we haven't done a lot of ACL reconstructions on patients over 50 y/o but a couple, perhaps it's just not that common of an injury in this age, etc.
Anyways, it's patient by patient decision, it sounds that the orthopods have presented all the viable options to you and possibilities. Good luck with your decision.