I agree. However, probably the majority of the brass that I use is Federal, and I've used a ton of it in competition loads. My BSA actually prefers Federal brass over other brands. I can't figure it out, but perhaps it has something to do with the thickness of the rim on the Federal case as compared to other brands. It might just work better with this particular claw extractor on the BSA, I don't know.
On the other hand, I use Winchester cases exclusively in my main target rifle based on a CIL 950T (Savage) action. In my opinion, the Winchester brass is clearly superior.