To be fair, Shakespeare analysis is pretty well covered elsewhere.
Also, a lot of what's written on popular pages might be due to how much information is available from show creators, producers and so on. There's generally a lot more to say in general on an ongoing story as well.
I know that doesn't excuse stuff like Frozen or anything else that's recent and also completed.
And I agree that the circlejerking is ridiculous, like one page about troubled childhoods lists Zuko's relationship with Ozai as "bringing a whole new definition to to concept of shitty parenting" or something, as though it's some groundbreaking new take on the concept.
I mean I like Avatar, but come the fuck on.