The case will only have relevance if/when the Palestinians and regional Islamic Resistance emerge completely victorious.
I expect it's going to not do anything and further expose the sham that are global institutions. The case won't be remembered for how it achieved justice for the Palestinians, because it very obviously won't - it'll be remembered by future politicians and historians and contrasted with how those institutions failed to stop Israel, but armed conflict did bring the Zionists down, and thus the lessons will be clear: ditch the institutions and prepare for conflict against the United States and its proxies. The UN will be remembered by people a century from now as being no more effective than the League of Nations, it just lasted longer under the pressure of the American empire.
Even the "left-wing" of the 2016-2020 period was literally just "Hmm, what if we combined both capitalism and socialism in a big pot to get the best of both!" It was that level of just having absolutely no fucking clue about anything in politics, political theory, economics, etc, you just wanted free healthcare and reasonable rent/housing prices.
It must be very strange having a reasonably large section of Lemmy (by posting power if nothing else) that explicitly rejects the entire capitalist neoliberal paradigm and way of thinking which is the only thing that they've been exposed to in their entire lives, aside from the spooky bedtime stories that the government has told them about the USSR or China hiding in their closet, ready to pounce out and eat them. If you're exposed to an entirely different system of thinking and are unable to even really comprehend it because you refuse to read, then what else are you meant to do other than accusing them of trolling, or of simply being Evil People?
The best you can do is use the talismans that the government and media have bestowed upon you, the good old "But human nature..." charm, the "Works on paper, doesn't in practice" amulet, and the "100 trillion dead in gulags" enchanted ring. You don't even really know why you're saying this stuff, it's just an automatic response programmed into you, and receiving an effortpost in response which debunks those things just leads you to spew out more talismanic responses. You're a defender of an ideology that you aren't even aware that you have, so when somebody comes at you with a different ideology, all you can do is just say shit like "Oh, yeah, those people over there are horrific genocide apologists. Yeah, they aren't even really trans, it's just a whole site that's trolling the rest of lemmy. They're so idiotic that they can't even see that competition and markets and democracy (as we conceive it) obviously get the best results - don't they know that the USSR's fall totally demolishes the argument of central planning? Just don't even engage with them."
all the while, we're over here debating the finer points of Chinese economic policy in the Deng era and how it compares to the USSR under Lenin and Stalin; the foundations of neoclassical economics and the people who invented the idea of austerity; various obscure countries and conflicts around the world; and, well, having struggle sessions about sillier things too.