Does it matter if the person is the best or if people think they are? Even our government is led by people that think the person is the best for the role even if they really are not. Why would anyone care about this particular company when that's their view on the gov't?
I would submit that if we care about outcomes then it matters if someone is the best suited for the role.
There will always be subjectivity, and “the best” is going to be at least partly defined in terms of who is available. Nevertheless we could insist upon certain standards. Not being a pathological liar, a sociopath, deeply conflicted or self-interested, and so on, seem like good starting positions.
I’m not arguing that we live in a reality that reflects this, of course. Just that it would be nice to.