Israel isn't knee deep in an information war against the US and Europe, is it? The ban didn't happen because of the war against Ukraine. It happened because of the ongoing cyber war against democracy.
Absolutely not. Russia's propaganda efforts are unparalleled. They directly or indirectly fund many authoritarian movements across the globe and systematically spam social media with false information.
Israel doesn't need to spam social media because they dominate mass media and have most of our politicians by the balls between AIPAC (the biggest funder of authoritarianism in the US) and straight up blackmail. That's not to offer any legitimacy to your implication that Israel doesn't also run massive disinformation campaigns on social media, because they excel at that as well.