Something that is not explicitly said is that the people caring about Gaza split into two groups, pro-Hamas and pro-Israeli. These two groups vehemently oppose each other and believe only their side is right. This is quite different from the society at large who recognize that both sides are guilty and both sides are victims, and don't see any hope to solve this problem in any way.

So of course both sides care about reporting and how each group is presented. There will be more and more pressure for others to take sides and describe what is happening using labels that fit their side of the story.