re: media, fandom, pet peeve, old cat yells at internet
FWIW, the example that inspired me was an otherwise really nice analysis of Alan Resnick's Live Forever As You Are Now, a fake self-help infomercial that satirizes tech-guru transhumanism.
They were spinning these HUGE theories out of the fact the video was full of short jokes, which they'd decided was a symbol of false humility on the part of the tech world and don't you see how their advertising does blah blah blah...
And I gently pointed out, um, Alan's 5'4" in RL and his troupemates make a point of teasing him about it in EVERY. SINGLE. THING. THEY. DO. They once did a sketch about him sleeping in someone's shoe.
And like I said, this kid had some really good ideas! I'm so glad they did this, and an error like that is well worth all the good insights! But I bring it up because it feels like this kind of high-school style "THE RED CURTAINS ARE A SYMBOL OF VIOLENCE, BECAUSE THE AUTHOR WANTS TO MAKE A STATEMENT!" criticism is... basically the only thing that we've got. And there are so many other ways to criticize fan media that better reflect the real creative process.
So, yeah. Good criticism is the exact opposite of a jigsaw puzzle. Good critics _know_ they're just taking rough, random pieces and super-gluing them together in interesting patterns. Some of those patterns will be drawn straight from the pieces' actual shapes. Some will be total guesswork. Some will require an X-Acto knife. And that's fine... but the more aware of this process you are, the better your criticism will be.