I think the fans do. And a few coaches, but those are mostly your Allerdyce's that come in and keep you up and stabilize you - and frankly, that's a really efficient thing to do when you don't have a lot of talent.
But most clubs are run by people that recognize that counting stats are not the end all be all, and many factors influence performance. The one thing that blows my mind is how so many continue to believe managers should dictate the transfer policy. Being able to coach football does not necessarily make you a great scout (or great at identifying scouts) and vice versa. But rather than let people focus on their specialty, we should double up their work even when they may be terrible at one side or the other of it.
If we have to debate the potential merits of the Director of Football (how many clubs actually use one?), we're not yet past this mindset