Krieger does have a break in procedure for their barrels.
https://www.kriegerbarrels.com/faq#breakin
They refer to the throat as the most important part, but you cant break in the throat unless you break in the rest of the barrel at the same time. Total performance is the goal. It is their sales pitch to imply that their barrels don't need anything because their bore is as good as it gets. Having looked through many barrels with a bore scope and broke in many barrels and finding that there are other barrels that require less break in than Krieger.
I still use many Krieger barrels and like them but don't believe everything that "ANY" manufacture says until you test it many many times.
Just saying
J E CUSTOM