Yes. That is how it should be. By normal standards, if a round meets saami standards, it should be able to feed into a chamber cut to those same standards. The magazine, ramp, and other factors should allow almost anything to feed. No matter what the gun is, it should be able to feed rounded or conical hp rounds. If that handgun can only feed fan, or a specific weight, either the design or construction are defectiv.
Under "implied warranty" laws, a product must live up to the expectations of a "realistic standards."
If a handgun is sold, labeled "9 mm parabellum" it must be capable of firing ammunition designed to those saami standards.
This sort of warranty isn't about defective products, it's more about design. Any, every product must do the job that it is supposed to do. It's not always clear, in fact, implied warranties are probably very difficult to enforce.
But, the fact remains, the US has laws and codes concerning those. Ammunition that will not work in a large group saami approved pistols does not meet the standard of "fit for the purpose sold". A handgun designed for that specific cartridge that cannot reliably use most of the cartridges designed for it is not "fit for the purpose sold.
The reality is that some rounds won't work too well in certain guns, some guns will be picky, and most of the time the shooter just has to put on his big girl panties and adapt.
I once read a rant about the ruger o/u shotgun. The guy was literally exploding about the thing shooting a few inches off of point of aim. Not feet, inches.
There was nothing physically defective, it worked. The implied purpose of the shotgun was to put a load if shot through the barrel and choke that formed a specific pattern with common ammo. If that charge reasonably hits the point of aim, that meets the requirements.
I don't know how he could determine that one barrel was shooting five inches off point of aim. Did he use slugs? If so, well, what part of that fits the implied warranty of an o/u clay pigeon gun?