I can see that. And to the extent that it annoys me, it's not you (or objuansalami) that I get annoyed with, because you are keeping your word to someone. It is that someone (still with respect) I'd be annoyed with if I had the intimacy with them to do so. More on that in a moment.
But here's my counterpoint (and I don't expect everyone to agree - it's an opinion, and only worth what any such is worth). I don't really care much about lineage, except as a matter of understanding. By that, I mean that knowing who you studied with and the lineage back to someone of note only matters in understanding how that influences what you know and how that influences your understanding and action. And that only matters if I know something of significance about that lineage. So (using a non-WC example, because I know close to nothing of WC), knowing I studied under Steve Weber and two of his students can help someone within NGA guess some of my approaches, but it doesn't really lend me any legitimacy or expertise beyond that. I find lineage - especially in older arts than my own - a matter of intellectual curiosity, but not a matter of importance. What's taught now is what matters. As for frauds, BJJ is about as open as an art can be, and frauds don't last long in their system.
My biggest issue is that I think secrecy limits the group holding the secret more than anyone else. Because you cannot discuss foot position openly (an infinitesimally minor point, IMO), you also cannot discuss important points of the hows and whys of your system with the larger world. So you cannot debate different usages and approaches and evolve what you do from that, nor help others evolve what they do. It limits the development of the art and the individual in small but significant ways. And the reality (again, in my opinion, for what that's worth) is that a fraud won't be likely to grasp the important points, anyway.
I appreciate you participating in this discussion.