I have said the eye test is invalid when we use it to make comparative statements, like "Bradley is the best defensive CF in the game today" or something similar. Remember when a lot of people on this board griped when he was not nominated for a Gold Glove? Well, how often did any of them see Buxton or Cain play? How can any of us know Bradley was more worthy of Buxton and Cain when we rarely saw them?
I also have said televised games are not really conducive to eye test because we are limited by what the director shows us. We never see the breaks outfielders get on balls, for example.
But that doesn't invalidate it completely, and not the same as taking both sides of the fence in the issue. For example, UZR is calculated by people watching every play by every CF and scoring them accordingly. That's a form of the eye test, but done so taking all players into account, taking pre-determined zones into account, and doing so without the same limitations we get when we watch a game on TV.
You seem to repeatedly accuse people who disagree with you on the issue of being lesser fans and lesser educated on these matters than yourself. "Go back to doing your taxes." Really? Despite your repeated accusations that I am nothing but a stats guy, you'd probably be hard-pressed to find any post I have ever made on the subject where I refuted observational data in lieu of advanced stats In fact, I have probably made more posts about defensive players I don't like (notably Holt, but a few others around MLB like Matt Holliday) who gets positive defensive ratings.
Eye test is fine for observations about players. Eye test tells me Holt is completely clueless about taking throws from the outfield when trying to prevent a double. Eye test doesn't really work when I want to decide who is the better defensively from other teams. And eye test can't tell us anything about what happens when the camera is pointing elsewhere (except for with disciplined season ticket holders).
Is that clear about how that is NOT both sides of the fence?
Now let's talk about your "acceptance" of advanced stats? Beyond point out WAR is flawed, what other commentary have you made about it? Have you ever embraced it in any way? I only see you disputing it, for example when you questioned by Bradley was closer to the middle of the pack defensively?