It's not really a left vs right case, but there are many instances in both Twitter and Reddit of women openly hating men, which isn't censored, while the opposite (men openly hating women) is censored or punished.
I don't want to name individual Twitter users, but you can check the r/FemaleDatingStrategy subreddit to have an idea.
Edit: I've done a quick Google search on reddit of "I hate men" and "I hate women" and they both seem to be quite prevalent, so maybe there isn't that much of a bias in terms of banning users. Although I still believe there is bias in terms of which subreddits have been deleted, quarantined, or allowed to continue.
I don't want to name individual Twitter users, but you can check the r/FemaleDatingStrategy subreddit to have an idea.
Edit: I've done a quick Google search on reddit of "I hate men" and "I hate women" and they both seem to be quite prevalent, so maybe there isn't that much of a bias in terms of banning users. Although I still believe there is bias in terms of which subreddits have been deleted, quarantined, or allowed to continue.