This is often true, but not always. When I swapped out a well used Krieger barrel for a new one on my RPR, I used some Lapua brass with 8 firings on them and had no issues using them in the new barrel. However, I'd never assume that's always going to be the case.This is pretty obvious. Ammo used for years in rifle #1 won't chamber in rifle #2. What is different between rifle 1 and rifle 2?
THE CHAMBER.
#1 is loose or #2 is tight.
I'd bet on the latter.