And no, ejecting live rounds is not what the gun was designed to do.......It was designed to be fired and eject empty casings.
I'm sorry, but I have to disagree , your very limited definition of what the gun was
designed to do is not complete. Firing and ejecting empties is not the only thing the gun is designed to do. Thinking a gun is not designed to be unloaded (without firing) is simply ignoring reality. EVERYTHING you find in the manual of arms (operating instructions) is something the gun is
designed to do. EVERY GUN.
Even muzzleloaders have the "worm" or "screw" so they can have the load pulled without firing. The idea of being able to remove an unfired round is one of the basic things guns are designed to be able to do. And they are designed to do it being worked by hand, at hand operating speeds.
A friend of mine had this issue with his 1911 repro. It turned out that the gun had the wrong ejector installed in it at the factory!
To expand on this case, my friend's gun was supposed to be a 1911, actually a reproduction 1918 model, with all the proper correct markings, etc. When I got to look at it, I noticed it had one of the "long nose" ejectors, which I thought (correctly) was not the right part for a 1911.
He had taken the gun to the range a couple times, fired a couple of mags each time, shooting the gun dry, reloading, doing it again. No issues at all, everything worked fine.
The gun also ejected snap caps normally (by hand). So we began experimenting, and discovered that while it would eject a snap cap with the Ball ammo profile, ACTUAL ball ammo would jam against the inside of the slide, just below the ejection port opening, requiring the slide be held back by hand, and then a "third hand" using a tool to PRY the live round loose. (the jammed round would not allow the slide to move back far enough to engage the slide stop)
A JHP round, with its shorter nose profile worked normally. ONLY regular GI ball 230gr FMJ RN jammed. (did not test with other 230gr loads)
The gun went back to the maker, and came back with the correct ejector, and an apology, as well as all costs paid by the maker.
Proper function of the pistol, all its functions, requires the right parts, working together, in the proper TIMING. We focus on feeding live rounds, firing, extracting and ejecting the empties more than on ejecting unfired rounds, but that is part of the proper operation of the pistol, as well.
The unfired round should fly out when the slide is worked by hand. One should not have to turn the gun upside down, and or wiggle it in any special way to get a live round to eject. If you do, your gun is malfunctioning, and should be looked at by someone who knows what they are doing, to determine exactly why, and what to fix.