"Successful candidates should clearly demonstrate that their priorities are company, team, and self — in that order"...right there you are creating a selection bias for exactly the kind of people you claim not to want. No-fucking-body in his right mind orders things that way. You are filtering for liars who know which lies to tell. I consider myself very not into office politics and I'm confident a would fail massive…
Now, it may be a rare trait. I have no idea really whether it is or not. I've certainly known many who operate in the reverse order, but it is what I was taught by my parents growing up, and has served me well during various careers.
None of this means I want to work for Facebook, but they may actually be doing this there. I have read complaints by former employees that it is a little cult-like to work there, but again, those are a few out of thousands.