Hmm, it appears I spoke too soon. I recall Eric Cressey mentioning that not depressing/retracting the shoulder blades open up the subacromial space, that is the area under your shoulder blades during overhead presses.
So, I guess what I meant was if you are consciously keeping your shoulder girdle tight. Also, try doing some light trap work before your presses, also stretching them. I think it was on Dr. Squat’s site years ago I read about how many pressing injuries actually stem from tightness/strain in the traps and neck.
I was in a car wreck in high school that tweaked my traps/neck at the base of my neck on the back of my shoulder, and it ruined my overhead work for quite some time, so I feel there is some merit to this.
Hope I haven’t clouded the issue even more and I genuinely hope you find these thoughts helpful.