I think when everyone starts PT depends exactly on what you had done and how conservative your OS is.
I had a SLAP repair with 2 anchors, cyst drained and acrominoplasty. I was to start pendulums 2 days post-op and do at least twice a day. I saw OS 1 week post-op for follow-up.
I started PT last week at 4 weeks PO and am weaning from my sling. I like you had started "weaning" from the sling a bit earlier than I was supposed to. Now at 5 weeks post-op I pretty much just wear the sling in public and at work. I work with lots of kids so PT wants me to be careful not to get bumped. I am supposed to still wear the sling to bed until next week but I am thinking of trying to go sans sling tonight.
I am curious though why some docs seem so conservative and not letting people even do pendulums or starting PT so late. I really think starting on those pendulums went a long way to preparing me to start PT and be out of the sling.