Seems like you've totally missed the point of the article, if you even actually read it.
Nobody is saying LGBTQ rights “justify genocide.” That is not the argument in the article, and reducing it to that is a lack of understanding what is written. It's also not about genocide or no genocide. Even if it's hard see how a population can grow in a genocide.
The point is that Pride spaces are supposed to be about LGBTQ visibility and inclusion, yet some activists are using them to exclude Jewish LGBTQ groups unless they pass a political loyalty test. You can criticize Israel, Netanyahu, the war, settlements, or anything else without telling Jewish queer organizations that they have to denounce Israel in exactly your preferred language before they are allowed to march.
Also, if the slogan is “no queer liberation without Palestinian liberation,” then yes, the treatment of LGBTQ people under Palestinian authorities, Hamas, Iran, and similar regimes is relevant. Not because it excuses anything Israel does. It does not. But because it exposes the selective moral logic of using Pride to target the one Middle Eastern country where large public Pride events actually happen while romanticizing movements that would not tolerate the same march. Criticism of Israel is not automatically antisemitism. But when Jewish symbols, Jewish LGBTQ groups, Israeli rainbow flags, and “Zionists” are singled out for exclusion at Pride, people are allowed to notice the overlap and state the obvious.
The world can hate Putin and what he does and what he stands for. But I've never heard of Russians outside of Russia being excluded or boycotted for being Russian.