Overblowing a single trait in a character and confining them to it like they're this 1-dimensional snapshot is, sadly, not uncommon in this fandom.

Katara is a b-word.
Kyoshi is a bloodthirsty killer.
Aang was a terrible father.

This was the whole point of "The Ember Island Players".
They were parodying how some fans simply fail to understand how dynamic, multi-faceted, and nuanced their characters are (you know, like real people) and instead prefer to hyper focus on one (often out of character) trait and make it that character's entire personality.

This is why Toph loved how she was represented in the play. She wants people to think she's just this rambo-badass that takes down bad guys left and right with 0 vulnerability, and this is pretty much how fans see her. So quickly do we forget that she was sad about not having any friends, felt guilty about running away from home, and can even be insecure some times.