I'm a *A flyer and the only OW airline I've experienced in at least 10+ years is CX. With quite a wide variety of *A carriers (Asia, Africa, North/South America, and a bit of Europe) I find that my Priority tagged bags are pretty consistently before the non tagged bags. The only one I see blunder on this occasionally in my travels is UA but even that's not so frequently. Even last week my Priority tagged bag that CX tagged was interlined to SA and was still nearly first off in JNB despite OW priority tags looking completely different than *A.