After monkeying around with my USPf with some snapcaps and some dummy-rounds (pressed some FMJs into spent brass with my Dillon) and watching the magazine/slide....my conclusion is that you should check the left side of the magazine lips with a caliper...my hunch is that the left lip is deformed and it is allowing the last round to "slip" as the last bit of spring tension is let loose by the extractor chucking the empty; since the rounds staggered themselves in the magazine due to the odd number of rounds (13) the last round should alway be on the right side, snapping toward the left to come into battery...which would explain why its hopping to the left....
Just a theory...not claiming to be a gunsmith
Another theory is the magazine follower itself being defective...catching a round early and instead of allowing the round to slip into the extractor, the slide is catching and the round goes rogue....