I’ve never had a dislocation, so take that into account.
The two things that have seemed to do the most for evening things left and right is soft tissue work around the thoracic spine and joint distraction stuff.
For the first, a lacrosse ball between you and the wall, but work in the areas between the spine and the scapula, find some painful spot, and then just put as much pressure as you can tolerate against it for a count of 20-30 while swearing under your breath. Done right, you should actually notice an immediate increase in ROM on whichever side you do… being able to bring your arm further up and behind, and to the side and back. Also, along those same lines, putting a foam roller/5" pvc pipe perpendicular to the spine around the same area, arms overhead, and just relaxing and letting everything stretch out and bend backward over it. That’s a little more general rather than left/right.
For the second, timed two and one-arm hangs from a pullup bar helped somewhat, with some swinging forward and back, side to side. What really seemed to do the same thing, but better, is band distraction holds, and band distraction with movement. Hook a band around something solid and higher than your head (I have an attachment so I can hook it in a door jamb), the other around your wrist, and then walk your body away until your arm and band is stretched as much as it will go.
The most “productive” stretches there were to face away from the band with your arm behind you, and basically lunge with the same leg forward (so right arm behind, right leg in front), and rotate the arm, elbow up, elbow down, and do that and hold for awhile. And then a second one where you face the band, kneel, so that your arm is above and behind your head, and just adjust until you feel the stretch all along your lats, and then just hold that for awhile.
There’s a few videos with Donnie Thompson that shows how he uses it (“Donnie Thompson Shoulder Fix”), a blog post with pictures entitled “Unorthodox Fitness: Band Traction (Part 1 of 2)”, and a video with Omar Isuf “MOBILITY For Weightlifting: Ankle, Hip and Shoulder”.
Everything really feels to be pretty well balanced now. For whatever that’s worth.