Well. I agree with your sentiment, but I don't remember it being quite exactly like that.
Please don't attack me here if I messed anything up, just calmly tell me, lol.. but I remember the origin more like this:
So, there was the Zoe Quinn thing, where a bunch of people flipped their shit because it seemed like she may have been sleeping with a games journalist who may have written something about one of her games. When I say "it seemed", I say that just because it was a thing that was said on the internet, not because I actually think she did. Admittedly, there seemed to be like zero evidence, and seemed to stem from some random person putting together some random facts that A) She made some games, B) she may have had some sort of relationship with that kotaku dude, and C) he wrote about one of her games once.
This is the one place where the term GamerGate makes sense. Its obviously a play on WaterGate ( or any other *Gate, which is a term a bunch of people use. I remember my mom undercooking 50 baked potatoes ~10 years ago and the whole family calls it PotatoGate ever since then ).
Then that was entirely all disproved. I think the kotaku dude did write one tiny mention of one of her games once, but it was a game that came out well before they got together ( I think ). Of course, certain basement dwellers couldn't let this go and thought they were still right, which was fueled by a different ( non-kotaku ) ex of hers writing that horrible note about her. Which I don't think the note even said she did anything unethical, it just looked like a typical note you would see from an immature, angry ex, and mostly called her a bunch of horrible names ( I think? ). Said basement dwellers started using internet doucebag tactics to make her life a living hell.
Around the time of the note, was the same( ish ) time Anita S. started doing her Female Tropes in Games series, which was basically a series pointing out how women are portrayed in games usually in sexist ways, and are rarely featured in non-sexist ways. She started kind of calling out to developers that they should try and represent women in more realistic and less misogynistic ways. Of course, the mere mention of this got many of the same basement dwellers from earlier to use the same internet douchebag tactics from earlier to make Anita's ( and anyone else saying similar statements ) life's hell as well.
So basically, you have the first 2% of this whole timeline tied to an unproven thought that maybe a developer slept with a journalist for positive coverage. Then the next 1% is that all being disproved. Then the next 97% on to the rest of everything else up to today is just misogynist raving douchebags freaking out on the internet ( and IRL in some cases ).
So let me be clear: I am just breaking this down as I understand it, and I 100% am not for any misogynist internet douchebaggery. These people are deplorable. I am 100% on Zoe and Anita and friends' side here.
But I just can't see how the term "GamerGate" makes any sense outside of the context of that first "conspiracy" ( which was nearly immediately disproved ). For that first week where maybe this did go down ( take gender out of it, and keep in mind, there was no widely available proof to discredit it for the first couple days ), it was actually kind of a cute term, obviously copying WaterGate to denote the potential conspiracy.
This is why when people say "GamerGate = conspiracy of ethics in games journalism", to me, this is actually 100% accurate on a semantics level. The term has just been co-oped to be a term for all the misogynist douchebags on the internet at this point. Which is fine.. but I wish we could all agree that it just doesn't make sense. When people say "No, GamerGate is about waay more than ethics in games journalism", I can't help but get a headache, cause the term was never supposed just represent misogynists.
Sorry for the long post. Hope I handled it with kid's gloves enough to not be yelled at! I have never once sided with a "gamer-gater" 1 time, I don't think that Zoe Quinn did anything disingenuous, I fully deplore any doxing, swating, or other douche bag internet tactics. But I can't help but get a semantic headache when I hear how people use the term at this point.