I don't think I ever tried 124gr HST in either of my P-07's but 147gr HST standard pressure runs flawlessly in both of them.
The only ammo I had feeding issues with in those pistols was the 65gr Polycase Inceptor defense, which were hanging when stripping the first round out of a full magazine, not having an issue going into battery. Something to do with the shape and texture of those fluted polymer/copper bullets and the pressure of a full mag against the underside of the slide. Their unfluted range ammo runs fine in them.
You should plunk test some of those rounds in your barrel, see if they spin freely or hang on the lands.