How are you going to get a cartridge with a .30 caliber bullet to go in a chamber that has a smaller neck?
The bullet doesn't reach the throat or is set back when closing bolt.
If it is set back that means you would have to push pretty damn hard, a 30-06 isn't going to chamber in a 270 regardless, case neck would have to be squeezed down as well, try that with a bullet in the neck, ain't happening. .031 difference in neck/bullet diameter.
If a bullet in a 30-06 doesn't reach the neck area of a 270 there are other issues.
Same case so even an empty 30-06 brass shouldn't allow for closing of a bolt in a 270 chambered rifle.
A 280 won't chamber in a 270, shoulder is farther forward on the 280.
I could possibly see an SA cartridge chambered in an LA gun but even then the bullet/neck diameter would have to be smaller than neck area of the LA chambering,, that is as long as the SA cartridge reaches the neck area which even a 2.8" 308 based cartridge should.
If this is confusing somebody they probably shouldn't be messing with firearms.