Total head-scratcher. I have the luxury of covering multiple sports as a course of the journalism career, and for the most part, I've found that most parents, fans, spectators and a significant fraction of players and coaches haven't got the foggiest idea what the hell the rules are, or how officials work - and therefore, their opinions are utterly useless.
Then you have the issue with fans not even SEEING stuff straight. I remember clearly watching a playoff hockey game where a puck came about halfway out over the blueline, so that half the puck covered the white ice of the neutral zone and the other half the blue of the blueline.
All the parents of the team in their own defensive zone called for an offside, then berated the official for "missing the call." When I, the guy writing for the paper in the area the same team played in, explained the offside rule, most folks said they (a) didn't know that rule and that (b) it was irrelevant, as the puck was "clearly" six inches over the line: even though it wasn't.
I recently had a polite discussion with a soccer parent who wanted to know why I (a first-year soccer referee) hadn't called an "obvious" hand ball. I explained what the determinants were for such a thing (a ball on a predictable vector striking a hand/forearm that was moved in a manner as to intercept, or a ball on a predictable vector striking a hand/forearm that is/was in an un-natural position) ... It just so happened that she - and half the people playing soccer - think any combination of ball+hand=foul.
I've seen lots of things like this to support my view that most fans are woefully ill-equipped to evaluate officials. Baseball outs that were clearly outs that fans of the team put out said were not outs, and suchlike. Ergo, any fan-based evaluation tool is, frankly, fecal matter.