Ye gads! We can't have a rational discussion of this topic unless there is some mention of the measurements!
Accuracy (from an engineering standpoint, "precision" is a better term) is the central grouping tendency--the ability of the cartridge/firearm combination to put successive shots on top of each other, or very close to each other.
My two-inch groups with a .357 Mag revolver are better than those "one-hole" groups mentioned above because mine are done at 25 YARDS, while some "defensive distance" afficianados fire their one-hole groups at 7 yards.
My experience, and that of published and methodical experimenters, is that the dispersion is linear between 15 yards/50 feet out to at least 50 yards (at rifle distances, it often ain't so--your 1 MOA rifle at 100 yards usually goes up to 1.5 MOA between 300 and 600 yards...usually).
So, your two-inch groups at 50 feet are only three inches at 75 feet/25 yards. One inch at 7 yards is three and a half inches at 25 yards.
Number of shots per group can make a BIG difference, too. One source puts 10-shot groups at 1.6 times the diameter of 5-shot groups, on average. I've seen some exceptions...
So, YES, there tend to be differences in what some writers (sometimes sneeringly) call "inherent accuracy."
Sounds like the original post is directed more towards an idea that the target is so big, the human factor ("in the shooter's hands," or similar language) becomes the overwhelming consideration in finding an accurate gun/ammo combo.
Yeah, and I can get more miles to the gallon in my Cadillac than you do in your Yugo. Possible with the human factor (easy on the throttle for me and you gun it everywhere), but the equipment *will* have a large influence!
So, maybe one grip shape and trigger action (combo "A")lets you introduce only 24 MOA of shooter error when shooting fast and furious. If another combo "B" opens you up to 27 MOA of shooter error, your could conceivably shoot smaller groups with it than with "A", if the the "B" gun/CARTRIDGE combo shoots 8 MOA like almost ANY .45 ACP in a decent gun, as compared to the "A" combo's typical 16 MOA performance like maybe one-third or more of the .40 S&W gun/cartridge combos I've seen reported.
My experience after testing hundreds of rounds of handloads off of sandbags: .40 S&W is HARD to make accurate with any bullet weight. .357 Mag. and 9mm can be done with a bit of load development. .45 ACP is EASY to get accurate loads!
Maybe the difference between a 4-inch group and a 2-inch group capability at 25 yards will be of no significance in most defensive shootings. But what about the one time it does?
That's why I wear a seat belt. The one time is makes a difference can be a life or death matter.