I believe you can protest whatever, even things that are not real (like the so called genocide, where the population actually grows). There should of course be limits to your protest: violence against people you disagree with should never be an option.
PS: if you can stop the war by returning all the hostages, it's not a genocide.
in any case, I doubt there is any proof that I could offer that would be enough to change your mind. you already know what you want to believe, so this is just online pugilism.
Similar to "CRTC bans Russian state-controlled TV channels RT, RT France from Canadian airwaves", but with the addition of Al Jazeera (funded by Qatar) leaking sensitive information to enemies of Israel, during a war.