I would like to point something out. Anita Sarkeesian wasn't the subject of so much hate because of her suggestion to critically look at gender roles in games. It was because she was (is) a feminazi, someone that actively closes off any and all remotely negative feedback, gets her followers to bully some individuals that gave negative feedback, and scammed thousands of people out of their money with her kickstarter. All under the excuse of a (very) good cause that would rile a lot of people in right away.
Don't get me wrong, most of the hate she got was totally wrong and even outright disgusting. But it wasn't because of what she claimed she would be doing.