I would think it was based on your years being a kid, not a teenager. I was born in 89, so when I think of being a kid most of that happened in the 90s although obviously it bled into the 00s too.
I'd have no problem with my 5 year old watching the land before time or the lion king (which she's already seen), but I haven't let her watch empire or rotj yet because I'm pretty sure they'll scare her.
You're acting like these things are the same but they aren't.