I've always been more focused on keeping my external rotators strong, as I heard that it is normally those that are weak... and that the internal rotators are generally the more strong / dominant ones.
I've had a long lay off from the gym for a number of reasons and have recently been battling a stubborn back pain in the gym these last few months, mainly when doing things like pressing and pulling movements (more-so pushing movements are the problem).
It doesn't feel like it's my back muscles that are hurting though, more like it's something deeper.
I've seen a couple PTs about it and they both think the pain is due to my winging scapular and weak lower traps. The exercises they've given me don't seem to have affected my back pain at all, but have at least improved on some other aches & pains I was getting in my shoulder joint.
At my last PT session, she noticed that my internal rotator was very weak on the affected side, but said that it was most likely unrelated.
However I've been doing some internal rotation exercises and I feel like it may be helping with my back pain, though it's a little early to tell.
It's strange though because I never hear about anyone having weak internal rotation, normally it seems to be the opposite... I also cannot find any link between a weak internal rotator causing pain around the thoracic region.