True.
There is such a thing as a .338x.223. The case has just a faint taper, no shoulder, and headspaces on the case mouth like an autopistol cartridge.
(also, if someone stumbles upon this topic, please tell me why cartridge names are nearly never 'correct', like 7,65x21 Luger bullet being 7,85mm and so on)
Reason 1: Many cartridges are named based on the bore diameter of the barrel, not the groove or bullet diameter. This is increasingly confusing because of the Internet Habit of conflating the bore and groove diameters.
Reason 2: Once you have a cartridge firing a bullet of a given diameter through the standard barrel dimensions, what do you call the NEXT one? You have to differentiate it somehow, and the advertising department will come up with something, maybe in the name, maybe in the number, maybe both. My favorite example:
.218 Bee, .219 Zipper, .220 Swift, .221 Fireball, .222 Remington, .223 Remington, .224 Weatherby, and .225 Winchester ALL fire the same diameter bullet, .224".
But .22 Hornet and .22 Savage don't.
Or the other way: .300 Blackout, .300 Savage, .300 H&H Magnum, .300 Weatherby, and .300 Winchester Magnum all have barrels of about .300" bore diameter, .308" groove diameter, and shoot .308" bullets.