A lot of the people you're referring to don't think it's "as simple" as "just plain hating" for "no reason". Reality is more complex, but it's a pretty reasonable opinion, based on observation and direct experience, that a lot of Gamergate revolved around calling any women involved whores, calling any men involved cucks, and calling any Jews involved kikes. I'm not sure how it's possible to expect people to not get from there to the feeling that one of the primary front-facing attributes of Gamergate was hatred.

I have no feelings about gamergate in particular, but ive seen this applied to enough cases of lies enshrined into the mainstream consensus (when even a quick Wikipedia search provides a more balanced view): people are far stupider and more dishonest than you're probably calibrated for.