It's not about left or right removal quantity. It's about hate. And there are a lot of easy cases on social media. I don't know what the do with not so easy cases. Maybe the same as before.
I think there are cases that should be easy on both sides and I would hazard a guess that they simply aren't dealt with the same. Sure, hate being removed is objectively good, but if only one side of the hate is removed, it will cause friction.
This actions are made BECAUSE OF right-wing hate on facebook/twitter where people post that they should kill other people, politician, refugees. That's why they focus on this problem right now. Does this mean left-wing hate speech at the same level will not be deleted? I don't think so.
Said groups could however be characterized by a mob mentality that leads to attacking peoples livelihood, harassing peoples families, sending death threats, etc, usually driven by social media, and hopefully something we could both agree is over the top, unacceptable, and indeed openly hateful.
My comment was ridiculously measured. I didn't even pick sides in the actual topic. I definitely didn't pick sides politically. You seem to have chosen one for me, although I regret to inform you you have assumed incorrectly.
Your comment was not measured. You made it impossible to have or continue a productive conversation. If I would have been the person you apparently think I am, you would not have won me over. You would have alienated me further. But I suspect that's part of it all. Some people don't care about productive conversation. They care about being "right" in front of other people who also want to be "right".
More substantive comment: why do we care about a person's race or gender when they use particular words?
Sure it's complex, convoluted, and controversial.. but as long as we put the right people in charge to make the decisions for us, it will all work out fairly.
I'll not go into that concept further for fear of igniting another tired flame war.
Similarly, if a white person publicly says something discriminatory against black people, it's a much different context than if a black person says the same thing. As an simple example, imagine a two black people in a room of 40 white nationalists: If one black person says to another, "hey n-!", that's much different for the person hearing it than if one of the white nationalists says the same thing.
There's a lot more to that word, including black people taking power for themselves and away from racists by using it (really a brilliant, innovative way to push back), but that's too much to write here and now.