Kinda the same as with justice. We know justice is served by people in nice togas and juries of peers who are really a nice name for your neighbours. And yet we still demand and hopefully will continue to demand justice, even if those people make mistakes or sometimes behave fraudulently.
The problem with Israeli-Hamas conflict isn't that the accurate information isn't available. It is that too many people decided to side with either belligerent and are selectively accepting information. It is that both sides of the conflict decided to use misinformation to bolster their media presence and their right to defend themselves. It is that the people who have open and measured view of the situation are not feeling safe expressing their views and feel pressured to support either side or shut up.
I am personally suspicious of radical opinions, but I feel no way to express any support to more moderate and rational opinions without exposing myself as target for both sides.
This problem in turn is result of some more general socio-politic changes, poor education and capture of media by organisations who discovered it is better to serve extreme views on any matter because it lets them steal more of the focus of consumers by exploiting our natural biases.
Because of the polarisation, you have to choose a lesser evil. If you don't like "trumpism", you have to side with "radical left". If you don't like "radical left", you have to side with "trumpism". This is how masses of people can be captured by extreme views, which should not be the norm, in my opinion.