Regrettably rhetorical question: And this is not a useful filtering function for most of the executives you'd want to hire?
A company must be able to fire people (I've been in ones that went down the drain because the founders were too nice to do this, or at least do it soon enough), but this sure sounds like Lord Acton's "Power corrupts, absolute power corrupts absolutely."
Most companies move toward the closed-allocation end of the spectrum because they perceive a need to do so in executive recruiting. Most executives don't want to take a position where they won't have the power to unilaterally fire people.