Thought that was an interesting article. I mean, he does seem rather bitter that this is using the Ghostbusters name, like it's taking something he loved and changing it or some dumb idea. And while he may not be necessarily sexist, the article does have a valid point, that a chunk of these criticisms are coming from some sort of innate, sexist reasoning.
And honestly that is the most frustrating part, because a lot of people don't want to acknowledge it (not necessarily talking about Neogaf specifically).
The transgender bathroom example makes some sense in the context actually. The common defense in the transgender debate is not outright stating that it is wrong for people to go with the gender they feel is right, but bringing it up as a sort of defense for the "vulnerable", women and children. They mention it as if this crusade is protecting them from unnamed evil, when really they just don't want the status quo upset. That sort of innate repulsion to things being changed is the point because while it is a sexist attitude, they don't see it as such. They think they are doing the right thing, even if it is hurting others.
AVGN comes off with the attitude of he's trying to protect this franchise, not only for fans, but also for the children who won't be able to enjoy the previous ones. He has this whole speech about how the proper way would be for the old cast to introduce the new cast and have them "win us over" before handing the torch, like it needs their approval before the new people can be graced with the title of Ghostbusters. It may not be sexist, but it still has the same bullshit logic of protecting others from something that doesn't need protecting from, and choosing a really dumb hill to make a stand on.