This makes sense. I used to always have issues when I would flat BB bench. For the entire year, I've dropped barbells and gone to incline DB, flat DB, dips and the odd fly. No issues with the shoulders. Although I did do some full ROM DB flyes the other week and I did feel a bit of a stretch in the front delt for a day or 2.
So is the upshot that you pick the press that you can safely progress over time without effecting your shoulders, and make sure you do DB flyes?