I agree with the general idea of what you're saying
vonFiedler, though, not at all regarding the sexist / gender bias claims lol...
I had the same criticisms of aang's sense of entitlement during avatar 1, but I'm able to forgive him more easily than I am korra not because he is a male and she is a female but because he was younger, and because I figured all her sense of entitlement and "bitchiness" (you used the word) should have been washed away during season 1, when you know, she was all of that and got owned repeatedly. I can't speak for everyone obviously, but I'd hope that the difference in expectations between aang avatar 1 and korra avatar 2 season 2 are due to both the age difference and the fact that korra already got owned by these character flaws in season 1, not due to any gender stereotyping.
Do I expect Korra to be perfect? Of course not...though I'm not sure if sticking a judge's head in a bear's jaw is as easily passed off as you claim (remember, she had no proof he was dirty at that time, just that she didn't like his judgment).
THAT said...I also don't understand criticisms of this episode...from what I watched, it seemed like it was finally wrapping up all that emotional noise Korra was feeling? The revert to child-korra I took as symbolic to represent her volatile emotions, and the episode itself was kind of an emotionally focused climax because it ends literally with her learning she can't be like that and she has to "be the avatar."
So basically, agree with vonfiedler completely regarding this episode (it was great, and necessary for positive character development), agree mostly with vonfiedler in that these extremist criticisms of korra should start being curbed now, and don't really agree with vonfiedler regarding his gender bais analysis.