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Sounds like a technique issue or load ordering issue.
Are your shoulders starting an in an optimal stable position?
At lighter weights your body is able to buffer the deviation in technique. Your body is able to buffer anything for a time until it can’t any longer. No warning just can’t do it. 200 may be the limit of your body’s ability to buffer the error.
Push ups are the same shape movement as a bench. Not uncommon that they are both impacted.
Episode 310: Load Ordering the Chesticles, Dipping and Pressing Part 1
Episode 310: Load Ordering the Chesticles, Dipping and Pressing Part 2
Open and Closed Torque Systems
Pro Episode # 41 – The Front Rack Archetype, Torque Demands, and Principled Movement
Pressing Mechanics and The Knee Pushup Up Disaster/Froning and Bailey Edition
Scar tissue could be an impacting factor. The supernova is a great tool in working with breaking up scar tissue.