I'm presuming you haven't had any injuries to the shoulders, arms, chest, or back, correct?
Huh? I don't follow. Any chance you have a video (yourself or someone else) with this form, because I can't quite picture it?
One-arm presses for chest or shoulders would be a fine place to start in order to address/work to correct an imbalance. Start with the weaker/less developed side, do your sets and reps, and then do the same sets and reps with the "good" side even though it should be a submaximal effort for that side.