Moon Channel goes into a great deal of of this in greater nuance than a GameFAQs post can articulate. He gets a few finer points wrong in some of his videos but nothing so wrong that it detracts from the main points.
What's going on in Korea is a mixture of things; some familiar to us in the US and some not.
To start with stuff that USians can easily understand; and that is currently happening in America:
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A society that expects men to be a certain way, tells men that they are the masters of their own destiny, and then denies that destiny to them. A society that wants to devour all in its path for increased capital and declares you a failure if you cannot live up to the pressure.
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A society that is so hungry for capital it happily co-opted feminist movements to get more women into the work force, and then ground those women to dust the same way it did men. Many Women are no longer are able or willing to start families with men. Leading to a male loneliness epidemic.
This is ultimately just what Late-Stage Capitalism looks like. America is rapidly getting there if we aren't already. Japan has been there for a while, Korea is speed-running it, and China will probably start to get there if they aren't there already (I dunno, I'm not super well-versed on China's economic policy, it's an area of new research for me).
Anyways, this blend of career women unable to star families even if they wanted to and a culture that tells men they can have whatever they want; but then refuses to give anything to them, is a hotbed for sexism and male loneliness. A significant part of this problem can be solved by simply reducing work hours so that everyone has more time to relax and party and start families. Since China exerts more top-down pressure than the most other nations; maybe they'll actually do this. Japan and Korea are too shackled by business executives ruling the country to make significant headway on this issue. At least not without economies collapsing first to weaken the power these companies have.
As for some considerations unique to Korea. For one, when Korea was looking for ways to expand their economy they looked to their neighbors to see what they were doing. They saw a Japan that had just lost the miracle when their bubble burst, and a China that was at the time still doing extremely cheap industrial labor. China was doing fine even if it's citizens weren't exactly well-off then, and Korea had a bone to pick with Japan anyways, so they decided to more or less copy Japan wholesale. For every Mitsubishi there was now a Hyundai. For every Sony there was now a Samsung. J-Pop? Well we have K-Pop. In all of these fields Korea sought to emulate Japan, and not just copy them. Be better. Do it harder. And explicitly try to cultivate foreign markets. (Japan during this time tried to focus on domestic sales to recoup the lost decade).
What this translated to was longer hours, tougher competition, and just. Full-tilt speed-running of capitalism. So all of the problems that late-stage capitalism creates, especially wrt to sexism went off the rails really fast and internet culture was ripe to take advantage of that newfound space. This is the main reason why Korea has gotten so bad so fast, relative to other countries which are taking a more scenic route to get to this point.
And there's some of the cultural touchstones. A lot of the east-asian cultures are, to be frank, at least a little sexist right now. This is a super complicated and nuanced topic and it wasn't always true during these country's histories. But at least in modern-day certain cultures of sexism were being established and reinforced. Idealized women in Japan went from being Samurai's warrior-wives wielding weapons ranging from bows to naginata to firearms to... You can have a ceremonial naginata and only that. You know to remember the good old days, but we're going to ignore all the other weapons and talents you used to profess, and now we're going to say that the ideal women is not a warrior but actually a subservient home maker. (the reason they reduced the weapons associated with women was to remove the image of women actually fighting on the battlefield, and instead tried to paint the idea of women defending homes; and thus the modern woman's role should be as a home-maker.)
Anyways. So you take this relatively modern pressure to put women beneath men, and combine that with cultures that nearly worship social hierarchy. Like, to the point that airplanes have been crashed because a copilot and and engineer could not directly challenge the authority of the pilot whose social-standing outranked them. When you have a society like this, and then put women lower than men in the hierarchy, any amount of feminism now seems like a direct challenge to natural order and a perversion of the country's culture. It's not, but that's how it started being seen thanks to efforts to systemically oppress women.
Oh, and I almost forgot. Also unironically Otaku / Anime Culture. It's another can of worms that's too long to get into here but the short version is that anime found marketability in women, created idealized version of women that were safe to package into mainstream media, and Otaku whose only experience with women is through anime internalize that that's the way that women should be. Combine that with all the stuff above and you'll start to understand why Hayao Miyazaki hates anime (specifically otaku) so much. Korea even has some "fun" terms. They call women they don't like Kimchi-Women. and women they do like Sushi-Women.
I could probably rant about this for more; but yeah. It's a unique blend of the normal things wrong with capitalism being magnified by specific elements of their culture and media being taken to insane extremes.
If you'd like to know more, and know more about the nuance I have to leave out here, and know more about how a lot of this is actually (at least partly) the US's fault: here's some Moon Channel videos on the subject.
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Gacha Drama and the Korean Gender War
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Gacha Drama and the Korean Gender War Pt. 2 - The Grim Reality of Korea
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Kawaii: Anime, Propaganda, and Soft Power Politics
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Can Cake Teach Gamers to Respect Women?
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Why Do So Many Gacha Games Pretend to Be Japanese? || The East Asian War for Soft Power
Yes I'm aware that's over 5 hours of videos and most of it is ostensibly linked to gacha games. Gacha games serve as a useful point of reference because all of the problems outlined above are extremely present in gacha games, especially gacha game communities.
And ftr Moonie doesn't condemn Gachas, he plays many himself. But it's one of those things that when you play these games you need to safeguard yourself against the malicious actors who want to exploit these spaces to make you hate something or someone.