I don't agree with Israel censoring websites, but important to keep in mind Al Jazeera is run by Qatar which is a monarchy without real freedom of the press, it's not CNN. They have strong regional interests and an obvious desire to shape the narrative of the conflict. They're not humanitarians.
Al Jazeera has much more extensive coverage of Israel/Palestine than CNN does, and I would compare Al Jazeera favorably with CNN, overall. CNN and Al Jazeera definitely have different biases, but if you just want to know what's going on in Gaza, you watch Al Jazeera, not CNN.
Well, there are quite a few monarchies where people enjoy freedom of press. (You probably meant “absolute monarchy”.) On the other hand, I am not sure what the lack of freedom of press in one country has to do with these events in another. Looks like a straw man to me.)
You can't even compare the reputation of CNN and Al Jazeera.
You can't also compare the interest of US and Israel in manipulating public with any other country in the planet. US & Israel plays the game dirtiest, does false flag attacks, kill children and mothers carrying white flags, bomb hospitals and families of journalists.
Qatar does not do any of these and do not need to manipulate you. US and Israel have to keep manipulating you, because as citizen, you need to be a part of the crime.