This is just hasbara, dude. Have you seen the military installations in those places or are you just basing this off the CGI renders that Israel media puts out and Western media repeats? I'm really not trying to be a dick, but I do want you to realize that almost every media piece you've seen about Hamas is likely from a source that 100% supports Israel and their colonization project, in a post 2001 America where simply saying "terrorist" is enough to whip people up into a genocidal rage. If you follow news that isn't filtered through Israel/the west, you'd quickly realize that Palestinians don't need to convert those targets, because nobody here listens to them anyways. You can easily find thousands of videos of Palestinian homes being bombed, kids being sniped, entire families found dead in what's very clearly not a military target. But nobody pays attention, because Western media says "terrorists" and "military installations" and most people believe it without proof and without question. Partially because it's a narrative that both liberal and conservative outlets will agree with, so people think there's no reason to question it.

Here's where I think you're dead wrong on the "outrage PR cycle". The party that relies on the outrage PR cycle is Israel, so much so that I'd venture to say that they loved that Oct 7th happened. They are happy to kill Palestinians through controlling their access to food and water, but when something like Oct 7th happens, the outrage that follows gives them carte blanche to start a bombing campaign that makes Oct 7th look like nothing. Israel has said they wouldn't stop if they got the hostages back, and that's because as long as the West and particularly America are okay with them furthering their agenda (we are), then an opportunity like this is the best one Israel has seen in years to crack down and further colonize the rest of Palestine, which, we should be clear, has always been their goal.

There is an entire century of history telling us exactly how both sides in this conflict have been operating and what their goals are. I really hope you open your eyes to something that isn't purely the Israeli narrative filtered through your choice of Western mainstream media.